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100020012 = 22331674013
BaseRepresentation
bin1011111011000…
…10111100101100
320222012112122220
411331202330230
5201101120022
613531435340
72323104351
oct575427454
9228175586
10100020012
1151505574
12295b5b50
131794c951
14d3d8628
158baa85c
hex5f62f2c

100020012 has 48 divisors (see below), whose sum is σ = 244564992. Its totient is φ = 31775040.

The previous prime is 100019977. The next prime is 100020023. The reversal of 100020012 is 210020001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22918 + ... + 26930.

It is an arithmetic number, because the mean of its divisors is an integer number (5095104).

Almost surely, 2100020012 is an apocalyptic number.

100020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100020012 is an abundant number, since it is smaller than the sum of its proper divisors (144544980).

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

100020012 is a wasteful number, since it uses less digits than its factorization.

100020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100020012 is about 10001.0005499450. Note that the first 3 decimals coincide. The cubic root of 100020012 is about 464.1898437880.

Adding to 100020012 its reverse (210020001), we get a palindrome (310040013).

It can be divided in two parts, 1000 and 20012, that added together give a palindrome (21012).

The spelling of 100020012 in words is "one hundred million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 67 93 124 134 186 201 268 372 402 804 2077 4013 4154 6231 8026 8308 12039 12462 16052 24078 24924 48156 124403 248806 268871 373209 497612 537742 746418 806613 1075484 1492836 1613226 3226452 8335001 16670002 25005003 33340004 50010006 100020012