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210013131223201 = 7313744988752727
BaseRepresentation
bin101111110000000101111110…
…000101011011000010100001
31000112121001121012120120020211
4233300011332011123002201
5210011323343043120301
62022354411154134121
762143643112353515
oct5760057605330241
91015531535516224
10210013131223201
1160a0a0835a9749
121b679b50881341
1390251cba42557
1439c0992aba145
151942dcbc05051
hexbf017e15b0a1

210013131223201 has 32 divisors (see below), whose sum is σ = 215167951065600. Its totient is φ = 204931144728576.

The previous prime is 210013131223199. The next prime is 210013131223219. The reversal of 210013131223201 is 102322131310012.

It is a cyclic number.

It is not a de Polignac number, because 210013131223201 - 21 = 210013131223199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210013131223261) by changing a digit.

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, 3983001900 + ... + 3983054626.

It is an arithmetic number, because the mean of its divisors is an integer number (6723998470800).

Almost surely, 2210013131223201 is an apocalyptic number.

It is an amenable number.

210013131223201 is a deficient number, since it is larger than the sum of its proper divisors (5154819842399).

210013131223201 is a wasteful number, since it uses less digits than its factorization.

210013131223201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54273.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 210013131223201 its reverse (102322131310012), we get a palindrome (312335262533213).

The spelling of 210013131223201 in words is "two hundred ten trillion, thirteen billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred one".

Divisors: 1 73 137 449 887 10001 32777 52727 61513 64751 121519 398263 3849071 4490449 7223599 8870887 23674423 29073199 46768849 54562031 527322727 1728232879 3243395951 3414125977 3983028263 6407332313 20999213201 236767904423 467735258849 1532942563673 2876892208537 210013131223201