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113123302320 = 24357563911941
BaseRepresentation
bin110100101011010101…
…1001001101110110000
3101210222202110011200210
41221112223021232300
53323134031133240
6123545040544120
711113205130060
oct1512653115660
9353882404623
10113123302320
1143a801783a6
1219b10922040
13a88a5c34a2
145691d253a0
152e213e5780
hex1a56ac9bb0

113123302320 has 160 divisors (see below), whose sum is σ = 400884341760. Its totient is φ = 25850004480.

The previous prime is 113123302319. The next prime is 113123302337. The reversal of 113123302320 is 23203321311.

113123302320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9467550 + ... + 9479490.

It is an arithmetic number, because the mean of its divisors is an integer number (2505527136).

Almost surely, 2113123302320 is an apocalyptic number.

113123302320 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 113123302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200442170880).

113123302320 is an abundant number, since it is smaller than the sum of its proper divisors (287761039440).

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

113123302320 is a wasteful number, since it uses less digits than its factorization.

113123302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17603 (or 17597 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 113123302320 its reverse (23203321311), we get a palindrome (136326623631).

The spelling of 113123302320 in words is "one hundred thirteen billion, one hundred twenty-three million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 5639 11278 11941 16917 22556 23882 28195 33834 35823 39473 45112 47764 56390 59705 67668 71646 78946 83587 84585 90224 95528 112780 118419 119410 135336 143292 157892 167174 169170 179115 191056 197365 225560 236838 238820 250761 270672 286584 315784 334348 338340 358230 394730 417935 451120 473676 477640 501522 573168 592095 631568 668696 676680 716460 789460 835870 947352 955280 1003044 1184190 1253805 1337392 1353360 1432920 1578920 1671740 1894704 2006088 2368380 2507610 2865840 3157840 3343480 4012176 4736760 5015220 6686960 9473520 10030440 20060880 67335299 134670598 202005897 269341196 336676495 404011794 471347093 538682392 673352990 808023588 942694186 1010029485 1077364784 1346705980 1414041279 1616047176 1885388372 2020058970 2356735465 2693411960 2828082558 3232094352 3770776744 4040117940 4713470930 5386823920 5656165116 7070206395 7541553488 8080235880 9426941860 11312330232 14140412790 16160471760 18853883720 22624660464 28280825580 37707767440 56561651160 113123302320