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21010100100 = 22352116366697
BaseRepresentation
bin10011100100010011…
…001010111110000100
32000020020012200002120
4103210103022332010
5321012041200400
613352451205540
71342435622103
oct234423127604
960206180076
1021010100100
118a017211a0
1240a42a68b0
131c9aa400c2
14103450203a
1582e794ca0
hex4e44caf84

21010100100 has 72 divisors (see below), whose sum is σ = 66315526368. Its totient is φ = 5093356800.

The previous prime is 21010100087. The next prime is 21010100101. The reversal of 21010100100 is 100101012.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (21010100101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3180049 + ... + 3186648.

Almost surely, 221010100100 is an apocalyptic number.

21010100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21010100100 is an abundant number, since it is smaller than the sum of its proper divisors (45305426268).

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

21010100100 is a wasteful number, since it uses less digits than its factorization.

21010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366725 (or 6366718 counting only the distinct ones).

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

Adding to 21010100100 its reverse (100101012), we get a palindrome (21110201112).

The spelling of 21010100100 in words is "twenty-one billion, ten million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6366697 12733394 19100091 25466788 31833485 38200182 63666970 70033667 76400364 95500455 127333940 140067334 159167425 191000910 210101001 280134668 318334850 350168335 382001820 420202002 477502275 636669700 700336670 840404004 955004550 1050505005 1400673340 1750841675 1910009100 2101010010 3501683350 4202020020 5252525025 7003366700 10505050050 21010100100