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110013231331332 = 22327557027783733
BaseRepresentation
bin11001000000111001110011…
…100100101111100000000100
3112102112011101020122001111200
4121000321303210233200010
5103404424044210100312
61025551214125102500
732113123300133550
oct3100716344574004
9472464336561450
10110013231331332
113206539305826a
12104093746b7a30
13495028457a3b4
141d249512c6860
15caba6b10c0dc
hex640e7392f804

110013231331332 has 72 divisors (see below), whose sum is σ = 317816977697856. Its totient is φ = 31432255274304.

The previous prime is 110013231331331. The next prime is 110013231331337. The reversal of 110013231331332 is 233133132310011.

110013231331332 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 3 + 2 + 313 + 313 + 32 = 666.

It is a super-2 number, since 2×1100132313313322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110013231331296 and 110013231331305.

It is not an unprimeable number, because it can be changed into a prime (110013231331331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139978938 + ... + 140762670.

It is an arithmetic number, because the mean of its divisors is an integer number (4414124690248).

Almost surely, 2110013231331332 is an apocalyptic number.

110013231331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110013231331332 is an abundant number, since it is smaller than the sum of its proper divisors (207803746366524).

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

110013231331332 is a wasteful number, since it uses less digits than its factorization.

110013231331332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340777 (or 1340772 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 110013231331332 its reverse (233133132310011), we get a palindrome (343146363641343).

The spelling of 110013231331332 in words is "one hundred ten trillion, thirteen billion, two hundred thirty-one million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 557027 783733 1114054 1567466 1671081 2228108 2351199 3134932 3342162 3899189 4702398 5013243 5486131 6684324 7053597 7798378 9404796 10026486 10972262 11697567 14107194 15596756 16458393 20052972 21944524 23395134 28214388 32916786 35092701 46790268 49375179 65833572 70185402 98750358 140370804 197500716 436560441791 873120883582 1309681325373 1746241767164 2619362650746 3055923092537 3929043976119 5238725301492 6111846185074 7858087952238 9167769277611 12223692370148 15716175904476 18335538555222 27503307832833 36671077110444 55006615665666 110013231331332