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13120114120002 = 2323167367795441
BaseRepresentation
bin1011111011101100001110…
…1111011101010101000010
31201110021022022102000222200
42332323003233131111002
53204424443203320002
643523144111014030
72522616441645231
oct276730357352502
951407268360880
1013120114120002
1141a923341a96a
12157a92380a316
137422b56bb1c6
14335034596b18
1517b43e680b1c
hexbeec3bdd542

13120114120002 has 96 divisors (see below), whose sum is σ = 29790291608064. Its totient is φ = 4167948787200.

The previous prime is 13120114119961. The next prime is 13120114120021. The reversal of 13120114120002 is 20002141102131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137420602 + ... + 137516042.

It is an arithmetic number, because the mean of its divisors is an integer number (310315537584).

Almost surely, 213120114120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120114120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895145804032).

13120114120002 is an abundant number, since it is smaller than the sum of its proper divisors (16670177488062).

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

13120114120002 is a wasteful number, since it uses less digits than its factorization.

13120114120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99224 (or 99221 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13120114120002 its reverse (20002141102131), we get a palindrome (33122255222133).

The spelling of 13120114120002 in words is "thirteen trillion, one hundred twenty billion, one hundred fourteen million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 31 62 67 93 134 186 201 279 402 558 603 1206 2077 3677 4154 6231 7354 11031 12462 18693 22062 33093 37386 66186 95441 113987 190882 227974 246359 286323 341961 492718 572646 683922 739077 858969 1025883 1478154 1717938 2051766 2217231 2958671 4434462 5917342 6394547 7637129 8876013 12789094 15274258 17752026 19183641 22911387 26628039 38367282 45822774 53256078 57550923 68734161 115101846 137468322 198230957 350936557 396461914 594692871 701873114 1052809671 1189385742 1784078613 2105619342 3158429013 3568157226 6316858026 10879033267 21758066534 23512749319 32637099801 47025498638 65274199602 70538247957 97911299403 141076495914 195822598806 211614743871 423229487742 728895228889 1457790457778 2186685686667 4373371373334 6560057060001 13120114120002