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211001000020 = 22546122885141
BaseRepresentation
bin1100010010000010100…
…0111100000001010100
3202011122000121101111121
43010200220330001110
511424112224000040
6240533231413324
721146541623236
oct3044050740124
9664560541447
10211001000020
1181537622358
1234a87984244
1316b88506a45
14a2d9172256
15574e15ec4a
hex3120a3c054

211001000020 has 24 divisors (see below), whose sum is σ = 444063295368. Its totient is φ = 84217315200.

The previous prime is 211000999997. The next prime is 211001000053. The reversal of 211001000020 is 20000100112.

It can be written as a sum of positive squares in 4 ways, for example, as 19811688516 + 191189311504 = 140754^2 + 437252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211000999967 and 211001000012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11433351 + ... + 11451790.

It is an arithmetic number, because the mean of its divisors is an integer number (18502637307).

Almost surely, 2211001000020 is an apocalyptic number.

211001000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001000020 is an abundant number, since it is smaller than the sum of its proper divisors (233062295348).

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

211001000020 is a wasteful number, since it uses less digits than its factorization.

211001000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22885611 (or 22885609 counting only the distinct ones).

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

Adding to 211001000020 its reverse (20000100112), we get a palindrome (231001100132).

The spelling of 211001000020 in words is "two hundred eleven billion, one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 461 922 1844 2305 4610 9220 22885141 45770282 91540564 114425705 228851410 457702820 10550050001 21100100002 42200200004 52750250005 105500500010 211001000020