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211012100012020 = 22571148600070431
BaseRepresentation
bin101111111110101000010101…
…010000111011011111110100
31000200010120010001121000221011
4233332220111100323133310
5210124210240100341040
62024441342010202004
762306056356100126
oct5776502520733764
91020116101530834
10211012100012020
116126480242339a
121b7bb685423304
139098481493858
143a1707c1ad216
15195dd97b723ea
hexbfea1543b7f4

211012100012020 has 24 divisors (see below), whose sum is σ = 449366612986368. Its totient is φ = 83216039440800.

The previous prime is 211012100011991. The next prime is 211012100012089. The reversal of 211012100012020 is 20210001210112.

It is a super-2 number, since 2×2110121000120202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74300033796 + ... + 74300036635.

It is an arithmetic number, because the mean of its divisors is an integer number (18723608874432).

Almost surely, 2211012100012020 is an apocalyptic number.

211012100012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012100012020 is an abundant number, since it is smaller than the sum of its proper divisors (238354512974348).

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

211012100012020 is a wasteful number, since it uses less digits than its factorization.

211012100012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148600070511 (or 148600070509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211012100012020 its reverse (20210001210112), we get a palindrome (231222101222132).

The spelling of 211012100012020 in words is "two hundred eleven trillion, twelve billion, one hundred million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 148600070431 297200140862 594400281724 743000352155 1486000704310 2972001408620 10550605000601 21101210001202 42202420002404 52753025003005 105506050006010 211012100012020