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210021001020 = 223254092852771
BaseRepresentation
bin1100001110011000111…
…0100010011100111100
3202002002201120021121100
43003212032202130330
511420110334013040
6240252102533100
721113342024265
oct3034616423474
9662081507540
10210021001020
118108441a626
1234853737190
1316a6048058c
14a244d4d96c
1556e30ceb30
hex30e63a273c

210021001020 has 72 divisors (see below), whose sum is σ = 638621539920. Its totient is φ = 55868647680.

The previous prime is 210021001013. The next prime is 210021001087. The reversal of 210021001020 is 20100120012.

210021001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210021000993 and 210021001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1352766 + ... + 1500005.

It is an arithmetic number, because the mean of its divisors is an integer number (8869743610).

Almost surely, 2210021001020 is an apocalyptic number.

210021001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021001020 is an abundant number, since it is smaller than the sum of its proper divisors (428600538900).

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

210021001020 is a wasteful number, since it uses less digits than its factorization.

210021001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853195 (or 2853190 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210021001020 its reverse (20100120012), we get a palindrome (230121121032).

The spelling of 210021001020 in words is "two hundred ten billion, twenty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 818 1227 1636 2045 2454 3681 4090 4908 6135 7362 8180 12270 14724 18405 24540 36810 73620 2852771 5705542 8558313 11411084 14263855 17116626 25674939 28527710 34233252 42791565 51349878 57055420 85583130 102699756 128374695 171166260 256749390 513498780 1166783339 2333566678 3500350017 4667133356 5833916695 7000700034 10501050051 11667833390 14001400068 17501750085 21002100102 23335666780 35003500170 42004200204 52505250255 70007000340 105010500510 210021001020