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111311134002 = 232313474671231
BaseRepresentation
bin110011110101010101…
…0010001110100110010
3101122022110112111002200
41213222222101310302
53310431122242002
6123045143524030
711020252012365
oct1475252216462
9348273474080
10111311134002
1143230262532
12196a5a59616
13a65c032943
14555d3a20dc
152d67286b1c
hex19eaa91d32

111311134002 has 96 divisors (see below), whose sum is σ = 250409263104. Its totient is φ = 35697650400.

The previous prime is 111311133959. The next prime is 111311134007. The reversal of 111311134002 is 200431113111.

It is a happy number.

111311134002 is a `hidden beast` number, since 1 + 11 + 311 + 1 + 340 + 0 + 2 = 666.

It is a super-2 number, since 2×1113111340022 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (111311134007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 90422727 + ... + 90423957.

It is an arithmetic number, because the mean of its divisors is an integer number (2608429824).

Almost surely, 2111311134002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111311134002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125204631552).

111311134002 is an abundant number, since it is smaller than the sum of its proper divisors (139098129102).

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

111311134002 is a wasteful number, since it uses less digits than its factorization.

111311134002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111311134002 its reverse (200431113111), we get a palindrome (311742247113).

The spelling of 111311134002 in words is "one hundred eleven billion, three hundred eleven million, one hundred thirty-four thousand, two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 347 467 558 694 934 1041 1231 1401 2082 2462 2802 3123 3693 4203 6246 7386 8406 10757 11079 14477 21514 22158 28954 32271 38161 43431 64542 76322 86862 96813 114483 130293 162049 193626 228966 260586 324098 343449 427157 486147 574877 686898 854314 972294 1149754 1281471 1458441 1724631 2562942 2916882 3449262 3844413 5023519 5173893 7688826 10047038 10347786 13241867 15070557 17821187 26483734 30141114 35642374 39725601 45211671 53463561 79451202 90423342 106927122 119176803 160390683 199482319 238353606 320781366 398964638 598446957 1196893914 1795340871 3590681742 6183951889 12367903778 18551855667 37103711334 55655567001 111311134002