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210012100100 = 225211909121001
BaseRepresentation
bin1100001110010110110…
…0100101011000000100
3202002002002211001211122
43003211230211120010
511420101044200400
6240251144053112
721113203253135
oct3034554453004
9662062731748
10210012100100
118107a3a01a0
1234850764198
1316a5b68506a
14a243ab3c8c
1556e2422685
hex30e5b25604

210012100100 has 72 divisors (see below), whose sum is σ = 497234279136. Its totient is φ = 76356000000.

The previous prime is 210012100091. The next prime is 210012100141. The reversal of 210012100100 is 1001210012.

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, 9989600 + ... + 10010600.

Almost surely, 2210012100100 is an apocalyptic number.

210012100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012100100 is an abundant number, since it is smaller than the sum of its proper divisors (287222179036).

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

210012100100 is a wasteful number, since it uses less digits than its factorization.

210012100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30117 (or 30110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210012100100 its reverse (1001210012), we get a palindrome (211013310112).

It can be divided in two parts, 21001 and 2100100, that multiplied together give a square (44104200100 = 2100102).

The spelling of 210012100100 in words is "two hundred ten billion, twelve million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9091 18182 21001 36364 42002 45455 84004 90910 100001 105005 181820 200002 210010 227275 231011 400004 420020 454550 462022 500005 525025 909100 924044 1000010 1050050 1155055 2000020 2100100 2310110 2500025 4620220 5000050 5775275 10000100 11550550 23101100 190920091 381840182 763680364 954600455 1909200910 2100121001 3818401820 4200242002 4773002275 8400484004 9546004550 10500605005 19092009100 21001210010 42002420020 52503025025 105006050050 210012100100