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110003313102320 = 245111231329930781
BaseRepresentation
bin11001000000110000100100…
…011001101100110111110000
3112102111012210000201211002102
4121000300210121230313300
5103404243241123233240
61025542454023035532
732112322434442151
oct3100604431546760
9472435700654072
10110003313102320
1132061163513a90
1210407466b9bba8
13494c3637c0431
141d2428dd6b928
15cab68a502815
hex640c2466cdf0

110003313102320 has 160 divisors (see below), whose sum is σ = 279328771814400. Its totient is φ = 39955296384000.

The previous prime is 110003313102289. The next prime is 110003313102337. The reversal of 110003313102320 is 23201313300011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110003313102292 and 110003313102301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3573725330 + ... + 3573756110.

It is an arithmetic number, because the mean of its divisors is an integer number (1745804823840).

Almost surely, 2110003313102320 is an apocalyptic number.

110003313102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110003313102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139664385907200).

110003313102320 is an abundant number, since it is smaller than the sum of its proper divisors (169325458712080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110003313102320 is a wasteful number, since it uses less digits than its factorization.

110003313102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35335 (or 35329 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 110003313102320 its reverse (23201313300011), we get a palindrome (133204626402331).

The spelling of 110003313102320 in words is "one hundred ten trillion, three billion, three hundred thirteen million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1231 2462 3299 4924 6155 6598 9848 12310 13196 13541 16495 19696 24620 26392 27082 30781 32990 36289 49240 52784 54164 61562 65980 67705 72578 98480 108328 123124 131960 135410 145156 153905 181445 216656 246248 263920 270820 290312 307810 338591 362890 492496 541640 580624 615620 677182 725780 1083280 1231240 1354364 1451560 1692955 2462480 2708728 2903120 3385910 4061069 5417456 6771820 8122138 13543640 16244276 20305345 27087280 32488552 37891411 40610690 44671759 64977104 75782822 81221380 89343518 101546519 151565644 162442760 178687036 189457055 203093038 223358795 303131288 324885520 357374072 378914110 406186076 416805521 446717590 507732595 606262576 714748144 757828220 812372152 833611042 893435180 1015465190 1117011709 1515656440 1624744304 1667222084 1786870360 2030930380 2084027605 2234023418 3031312880 3334444168 3573740720 4061860760 4168055210 4468046836 5585058545 6668888336 8123721520 8336110420 8936093672 11170117090 16672220840 17872187344 22340234180 33344441680 44680468360 89360936720 125003764889 250007529778 500015059556 625018824445 1000030119112 1250037648890 1375041413779 2000060238224 2500075297780 2750082827558 5000150595560 5500165655116 6875207068895 10000301191120 11000331310232 13750414137790 22000662620464 27500828275580 55001656551160 110003313102320