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13120113000400 = 2452716328746961
BaseRepresentation
bin1011111011101100001110…
…1011001011111111010000
31201110021022020022011011221
42332323003223023333100
53204424442412003100
643523144031014424
72522616426303130
oct276730353137720
951407266264157
1013120113000400
1141a923282577a
12157a92336a414
137422b53b8713
14335034384ac0
1517b43e50e01a
hexbeec3acbfd0

13120113000400 has 120 divisors (see below), whose sum is σ = 36245089592384. Its totient is φ = 4470727219200.

The previous prime is 13120113000307. The next prime is 13120113000431. The reversal of 13120113000400 is 400031102131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13917081 + ... + 14829880.

Almost surely, 213120113000400 is an apocalyptic number.

13120113000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120113000400 is an abundant number, since it is smaller than the sum of its proper divisors (23124976591984).

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

13120113000400 is a wasteful number, since it uses less digits than its factorization.

13120113000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28747149 (or 28747138 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13120113000400 its reverse (400031102131), we get a palindrome (13520144102531).

The spelling of 13120113000400 in words is "thirteen trillion, one hundred twenty billion, one hundred thirteen million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 163 175 200 280 326 350 400 560 652 700 815 1141 1304 1400 1630 2282 2608 2800 3260 4075 4564 5705 6520 8150 9128 11410 13040 16300 18256 22820 28525 32600 45640 57050 65200 91280 114100 228200 456400 28746961 57493922 114987844 143734805 201228727 229975688 287469610 402457454 459951376 574939220 718674025 804914908 1006143635 1149878440 1437348050 1609829816 2012287270 2299756880 2874696100 3219659632 4024574540 4685754643 5030718175 5749392200 8049149080 9371509286 10061436350 11498784400 16098298160 18743018572 20122872700 23428773215 32800282501 37486037144 40245745400 46857546430 65600565002 74972074288 80491490800 93715092860 117143866075 131201130004 164001412505 187430185720 234287732150 262402260008 328002825010 374860371440 468575464300 524804520016 656005650020 820007062525 937150928600 1312011300040 1640014125050 1874301857200 2624022600080 3280028250100 6560056500200 13120113000400