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100134012 = 223111744623
BaseRepresentation
bin1011111011111…
…10110001111100
320222102100001010
411331332301330
5201113242022
613534115220
72324060616
oct575766174
9228370033
10100134012
1151583190
122964bb10
131798c7c4
14d427db6
158bce50c
hex5f7ec7c

100134012 has 48 divisors (see below), whose sum is σ = 269885952. Its totient is φ = 28558080.

The previous prime is 100134011. The next prime is 100134031. The reversal of 100134012 is 210431001.

It is a happy number.

It is a super-2 number, since 2×1001340122 = 20053640718432288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100134011) 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 15 ways as a sum of consecutive naturals, for example, 20068 + ... + 24555.

It is an arithmetic number, because the mean of its divisors is an integer number (5622624).

Almost surely, 2100134012 is an apocalyptic number.

100134012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100134012 is an abundant number, since it is smaller than the sum of its proper divisors (169751940).

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

100134012 is a wasteful number, since it uses less digits than its factorization.

100134012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44658 (or 44656 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100134012 is about 10006.6983566009. The cubic root of 100134012 is about 464.3661336763.

Adding to 100134012 its reverse (210431001), we get a palindrome (310565013).

The spelling of 100134012 in words is "one hundred million, one hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 44623 89246 133869 178492 267738 490853 535476 758591 981706 1472559 1517182 1963412 2275773 2945118 3034364 4551546 5890236 8344501 9103092 16689002 25033503 33378004 50067006 100134012