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100210221012 = 223114118516301
BaseRepresentation
bin101110101010011111…
…1101001111111010100
3100120122211012200021010
41131110333221333110
53120212304033022
6114011432452220
710145205552516
oct1352477517724
9316584180233
10100210221012
113955406a280
121750824a070
1395b0235085
144bc8d43bb6
15291791250c
hex1754fe9fd4

100210221012 has 48 divisors (see below), whose sum is σ = 261302053824. Its totient is φ = 29626080000.

The previous prime is 100210220933. The next prime is 100210221019. The reversal of 100210221012 is 210122012001.

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 (100210221019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9252739 + ... + 9263562.

It is an arithmetic number, because the mean of its divisors is an integer number (5443792788).

Almost surely, 2100210221012 is an apocalyptic number.

100210221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100210221012 is an abundant number, since it is smaller than the sum of its proper divisors (161091832812).

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

100210221012 is a wasteful number, since it uses less digits than its factorization.

100210221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18516360 (or 18516358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100210221012 its reverse (210122012001), we get a palindrome (310332233013).

The spelling of 100210221012 in words is "one hundred billion, two hundred ten million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 18516301 37032602 55548903 74065204 111097806 203679311 222195612 407358622 611037933 759168341 814717244 1222075866 1518336682 2277505023 2444151732 3036673364 4555010046 8350851751 9110020092 16701703502 25052555253 33403407004 50105110506 100210221012