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213406293513210 = 23571759777673253
BaseRepresentation
bin110000100001011110000110…
…010100010101001111111010
31000222121102221112001112221120
4300201132012110111033322
5210432422042114410320
62033513255310050110
762644044616060230
oct6041360624251772
91028542845045846
10213406293513210
1161aa811221a026
121bb2769baa9936
1392101863ba735
143a9acc39c2950
1519a12c28d4440
hexc217865153fa

213406293513210 has 64 divisors (see below), whose sum is σ = 619774916297472. Its totient is φ = 45909253057536.

The previous prime is 213406293513191. The next prime is 213406293513229. The reversal of 213406293513210 is 12315392604312.

It is an interprime number because it is at equal distance from previous prime (213406293513191) and next prime (213406293513229).

It is a super-2 number, since 2×2134062935132102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29888833057 + ... + 29888840196.

It is an arithmetic number, because the mean of its divisors is an integer number (9683983067148).

Almost surely, 2213406293513210 is an apocalyptic number.

213406293513210 is an abundant number, since it is smaller than the sum of its proper divisors (406368622784262).

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

213406293513210 is a wasteful number, since it uses less digits than its factorization.

213406293513210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59777673287.

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 213406293513210 in words is "two hundred thirteen trillion, four hundred six billion, two hundred ninety-three million, five hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 59777673253 119555346506 179333019759 298888366265 358666039518 418443712771 597776732530 836887425542 896665098795 1016220445301 1255331138313 1793330197590 2032440890602 2092218563855 2510662276626 3048661335903 4184437127710 5081102226505 6097322671806 6276655691565 7113543117107 10162204453010 12553311383130 14227086234214 15243306679515 21340629351321 30486613359030 35567715585535 42681258702642 71135431171070 106703146756605 213406293513210