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100101012 = 22311758341
BaseRepresentation
bin1011111011101…
…10101110010100
320222100122202220
411331312232110
5201111213022
613533302340
72323562454
oct575665624
9228318686
10100101012
1151560410
12296349b0
131797a78b
14d419d64
158bc485c
hex5f76b94

100101012 has 24 divisors (see below), whose sum is σ = 254802912. Its totient is φ = 30333600.

The previous prime is 100101007. The next prime is 100101013. The reversal of 100101012 is 210101001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379039 + ... + 379302.

It is an arithmetic number, because the mean of its divisors is an integer number (10616788).

Almost surely, 2100101012 is an apocalyptic number.

100101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101012 is an abundant number, since it is smaller than the sum of its proper divisors (154701900).

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

100101012 is a wasteful number, since it uses less digits than its factorization.

100101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758359 (or 758357 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100101012 is about 10005.0493252157. The cubic root of 100101012 is about 464.3151161589.

Adding to 100101012 its reverse (210101001), we get a palindrome (310202013).

The spelling of 100101012 in words is "one hundred million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 758341 1516682 2275023 3033364 4550046 8341751 9100092 16683502 25025253 33367004 50050506 100101012