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210211101001020 = 223572119123618641
BaseRepresentation
bin101111110010111110010110…
…000000001100010100111100
31000120021222121001122021111010
4233302332112000030110330
5210023044313324013040
62023025351401355220
762164152021613440
oct5762762600142474
91016258531567433
10210211101001020
1160a86033360979
121b6b03a0498b10
13903aa8b565212
1439ca3b32b6820
151948116ce6e80
hexbf2f9600c53c

210211101001020 has 96 divisors (see below), whose sum is σ = 672707295138816. Its totient is φ = 48045982233600.

The previous prime is 210211101000889. The next prime is 210211101001087. The reversal of 210211101001020 is 20100101112012.

210211101001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2102111010010202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210211101000987 and 210211101001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2909101 + ... + 20709540.

It is an arithmetic number, because the mean of its divisors is an integer number (7007367657696).

Almost surely, 2210211101001020 is an apocalyptic number.

210211101001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210211101001020 is an abundant number, since it is smaller than the sum of its proper divisors (462496194137796).

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

210211101001020 is a wasteful number, since it uses less digits than its factorization.

210211101001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23639851 (or 23639849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210211101001020 its reverse (20100101112012), we get a palindrome (230311202113032).

The spelling of 210211101001020 in words is "two hundred ten trillion, two hundred eleven billion, one hundred one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 21191 42382 63573 84764 105955 127146 148337 211910 254292 296674 317865 423820 445011 593348 635730 741685 890022 1271460 1483370 1780044 2225055 2966740 4450110 8900220 23618641 47237282 70855923 94474564 118093205 141711846 165330487 236186410 283423692 330660974 354279615 472372820 495991461 661321948 708559230 826652435 991982922 1417118460 1653304870 1983965844 2479957305 3306609740 4959914610 9919829220 500502621431 1001005242862 1501507864293 2002010485724 2502513107155 3003015728586 3503518350017 5005026214310 6006031457172 7007036700034 7507539321465 10010052428620 10510555050051 14014073400068 15015078642930 17517591750085 21021110100102 30030157285860 35035183500170 42042220200204 52552775250255 70070367000340 105105550500510 210211101001020