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101412132 = 22315435477
BaseRepresentation
bin1100000101101…
…10110100100100
321001211021021220
412002312310210
5201430142012
614021340340
72340663123
oct602666444
9231737256
10101412132
1152276488
1229b676b0
13180194a3
14d67baba
158d8308c
hex60b6d24

101412132 has 24 divisors (see below), whose sum is σ = 236824896. Its totient is φ = 33775968.

The previous prime is 101412131. The next prime is 101412137. The reversal of 101412132 is 231214101.

It is not an unprimeable number, because it can be changed into a prime (101412131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15778 + ... + 21254.

It is an arithmetic number, because the mean of its divisors is an integer number (9867704).

Almost surely, 2101412132 is an apocalyptic number.

101412132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101412132 is an abundant number, since it is smaller than the sum of its proper divisors (135412764).

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

101412132 is a wasteful number, since it uses less digits than its factorization.

101412132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101412132 is about 10070.3590799931. The cubic root of 101412132 is about 466.3335243657. Note that the first 3 decimals are identical.

Adding to 101412132 its reverse (231214101), we get a palindrome (332626233).

The spelling of 101412132 in words is "one hundred one million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 1543 3086 4629 5477 6172 9258 10954 16431 18516 21908 32862 65724 8451011 16902022 25353033 33804044 50706066 101412132