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210011022100 = 225211316158681
BaseRepresentation
bin1100001110010110100…
…0011110001100010100
3202002002000210022002201
43003211220132030110
511420100310201400
6240251105014244
721113161143235
oct3034550361424
9662060708081
10210011022100
1181079824290
1234850324384
1316a5b3984a9
14a2438b308c
1556e22ad06a
hex30e5a1e314

210011022100 has 72 divisors (see below), whose sum is σ = 513190653696. Its totient is φ = 73904160000.

The previous prime is 210011022083. The next prime is 210011022119. The reversal of 210011022100 is 1220110012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3045241 + ... + 3113440.

It is an arithmetic number, because the mean of its divisors is an integer number (7127647968).

Almost surely, 2210011022100 is an apocalyptic number.

210011022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210011022100 is an abundant number, since it is smaller than the sum of its proper divisors (303179631596).

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

210011022100 is a wasteful number, since it uses less digits than its factorization.

210011022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158737 (or 6158730 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210011022100 its reverse (1220110012), we get a palindrome (211231132112).

The spelling of 210011022100 in words is "two hundred ten billion, eleven million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 6158681 12317362 24634724 30793405 61586810 67745491 123173620 135490982 153967025 190919111 270981964 307934050 338727455 381838222 615868100 677454910 763676444 954595555 1354909820 1693637275 1909191110 2100110221 3387274550 3818382220 4200220442 4772977775 6774549100 8400440884 9545955550 10500551105 19091911100 21001102210 42002204420 52502755525 105005511050 210011022100