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13332311112 = 2333123337681
BaseRepresentation
bin11000110101010101…
…01110110001001000
31021102011002120121110
430122222232301020
5204301032423422
610042541410320
7651246526461
oct143252566110
937364076543
1013332311112
11572181873a
122700b699a0
1313461a36b3
1490694dd68
155306e460c
hex31aaaec48

13332311112 has 64 divisors (see below), whose sum is σ = 34425192960. Its totient is φ = 4298342400.

The previous prime is 13332311051. The next prime is 13332311117. The reversal of 13332311112 is 21111323331.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13332311117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731912 + ... + 1739592.

It is an arithmetic number, because the mean of its divisors is an integer number (537893640).

Almost surely, 213332311112 is an apocalyptic number.

13332311112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13332311112 is an abundant number, since it is smaller than the sum of its proper divisors (21092881848).

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

13332311112 is a wasteful number, since it uses less digits than its factorization.

13332311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10054 (or 10050 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 13332311112 its reverse (21111323331), we get a palindrome (34443634443).

The spelling of 13332311112 in words is "thirteen billion, three hundred thirty-two million, three hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 2333 4666 6999 7681 9332 13998 15362 18664 23043 27996 30724 46086 55992 61448 72323 92172 144646 184344 216969 238111 289292 433938 476222 578584 714333 867876 952444 1428666 1735752 1904888 2857332 5714664 17919773 35839546 53759319 71679092 107518638 143358184 215037276 430074552 555512963 1111025926 1666538889 2222051852 3333077778 4444103704 6666155556 13332311112