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13233101112 = 23337211210333
BaseRepresentation
bin11000101001100000…
…10001100100111000
31021011020102012002000
430110300101210320
5204100133213422
610025035141000
7645633334500
oct142460214470
937136365060
1013233101112
115680816800
1226938a4760
13132b77865a
148d76c6a00
15526b48cac
hex314c11938

13233101112 has 288 divisors, whose sum is σ = 47005232400. Its totient is φ = 3436836480.

The previous prime is 13233101107. The next prime is 13233101117. The reversal of 13233101112 is 21110133231.

It is an interprime number because it is at equal distance from previous prime (13233101107) and next prime (13233101117).

It is a super-2 number, since 2×132331011122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1275498 + ... + 1285830.

Almost surely, 213233101112 is an apocalyptic number.

13233101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502616200).

13233101112 is an abundant number, since it is smaller than the sum of its proper divisors (33772131288).

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

13233101112 is a wasteful number, since it uses less digits than its factorization.

13233101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10384 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13233101112 its reverse (21110133231), we get a palindrome (34343234343).

The spelling of 13233101112 in words is "thirteen billion, two hundred thirty-three million, one hundred one thousand, one hundred twelve".