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113003130120 = 233515727122133
BaseRepresentation
bin110100100111110000…
…0101110110100001000
3101210200101022210102120
41221033200232310020
53322412300130440
6123525105131240
711110215520566
oct1511740566410
9353611283376
10113003130120
1143a19359231
1219a98629b20
13a86b73908a
14567dda2a36
152e15aa8dd0
hex1a4f82ed08

113003130120 has 128 divisors (see below), whose sum is σ = 342443082240. Its totient is φ = 29830394880.

The previous prime is 113003130109. The next prime is 113003130181. The reversal of 113003130120 is 21031300311.

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 113003130120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5094574 + ... + 5116706.

It is an arithmetic number, because the mean of its divisors is an integer number (2675336580).

Almost surely, 2113003130120 is an apocalyptic number.

113003130120 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 113003130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171221541120).

113003130120 is an abundant number, since it is smaller than the sum of its proper divisors (229439952120).

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

113003130120 is a wasteful number, since it uses less digits than its factorization.

113003130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22575 (or 22571 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113003130120 its reverse (21031300311), we get a palindrome (134034430431).

The spelling of 113003130120 in words is "one hundred thirteen billion, three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 271 314 471 542 628 785 813 942 1084 1256 1355 1570 1626 1884 2168 2355 2710 3140 3252 3768 4065 4710 5420 6280 6504 8130 9420 10840 16260 18840 22133 32520 42547 44266 66399 85094 88532 110665 127641 132798 170188 177064 212735 221330 255282 265596 331995 340376 425470 442660 510564 531192 638205 663990 850940 885320 1021128 1276410 1327980 1701880 2552820 2655960 3474881 5105640 5998043 6949762 10424643 11996086 13899524 17374405 17994129 20849286 23992172 27799048 29990215 34748810 35988258 41698572 47984344 52123215 59980430 69497620 71976516 83397144 89970645 104246430 119960860 138995240 143953032 179941290 208492860 239921720 359882580 416985720 719765160 941692751 1883385502 2825078253 3766771004 4708463755 5650156506 7533542008 9416927510 11300313012 14125391265 18833855020 22600626024 28250782530 37667710040 56501565060 113003130120