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13220103120 = 2435723333773
BaseRepresentation
bin11000100111111101…
…01100001111010000
31021010022221211011220
430103332230033100
5204033321244440
610023452405040
7645415010460
oct142376541720
937108854156
1013220103120
115674449164
12268b476780
131328b77333
148d5aa1ba0
1552592c8d0
hex313fac3d0

13220103120 has 160 divisors (see below), whose sum is σ = 47039346432. Its totient is φ = 3008679936.

The previous prime is 13220103107. The next prime is 13220103161. The reversal of 13220103120 is 2130102231.

It is a super-2 number, since 2×132201031202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13220103120.

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, 374554 + ... + 408326.

Almost surely, 213220103120 is an apocalyptic number.

13220103120 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 13220103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23519673216).

13220103120 is an abundant number, since it is smaller than the sum of its proper divisors (33819243312).

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

13220103120 is a wasteful number, since it uses less digits than its factorization.

13220103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34029 (or 34023 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13220103120 its reverse (2130102231), we get a palindrome (15350205351).

The spelling of 13220103120 in words is "thirteen billion, two hundred twenty million, one hundred three thousand, one 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 84 105 112 120 140 168 210 233 240 280 336 420 466 560 699 840 932 1165 1398 1631 1680 1864 2330 2796 3262 3495 3728 4660 4893 5592 6524 6990 8155 9320 9786 11184 13048 13980 16310 18640 19572 24465 26096 27960 32620 33773 39144 48930 55920 65240 67546 78288 97860 101319 130480 135092 168865 195720 202638 236411 270184 337730 391440 405276 472822 506595 540368 675460 709233 810552 945644 1013190 1182055 1350920 1418466 1621104 1891288 2026380 2364110 2701840 2836932 3546165 3782576 4052760 4728220 5673864 7092330 7869109 8105520 9456440 11347728 14184660 15738218 18912880 23607327 28369320 31476436 39345545 47214654 55083763 56738640 62952872 78691090 94429308 110167526 118036635 125905744 157382180 165251289 188858616 220335052 236073270 275418815 314764360 330502578 377717232 440670104 472146540 550837630 629528720 661005156 826256445 881340208 944293080 1101675260 1322010312 1652512890 1888586160 2203350520 2644020624 3305025780 4406701040 6610051560 13220103120