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10210020100 = 2252771205433
BaseRepresentation
bin10011000001001000…
…01000101100000100
3222100112221202112121
421200210020230010
5131402231120400
64405044055324
7511004511310
oct114044105404
928315852477
1010210020100
11436a321245
121b8b394544
13c69372517
146cbdd2b40
153eb54621a
hex260908b04

10210020100 has 72 divisors (see below), whose sum is σ = 25677606528. Its totient is φ = 3451257600.

The previous prime is 10210020017. The next prime is 10210020113. The reversal of 10210020100 is 102001201.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53017 + ... + 152416.

It is an arithmetic number, because the mean of its divisors is an integer number (356633424).

Almost surely, 210210020100 is an apocalyptic number.

10210020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210020100 is an abundant number, since it is smaller than the sum of its proper divisors (15467586428).

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

10210020100 is a wasteful number, since it uses less digits than its factorization.

10210020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205525 (or 205518 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10210020100 its reverse (102001201), we get a palindrome (10312021301).

The spelling of 10210020100 in words is "ten billion, two hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4970 7100 9940 12425 24850 49700 205433 410866 821732 1027165 1438031 2054330 2876062 4108660 5135825 5752124 7190155 10271650 14380310 14585743 20543300 28760620 29171486 35950775 58342972 71901550 72928715 102100201 143803100 145857430 204200402 291714860 364643575 408400804 510501005 729287150 1021002010 1458574300 2042004020 2552505025 5105010050 10210020100