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10002111220231 = 13175367109116929
BaseRepresentation
bin1001000110001100110001…
…0010010100101000000111
31022102012012022212100112021
42101203030102110220013
52302333310433021411
633134523443504011
72051425432412314
oct221431422245007
938365168770467
1010002111220231
113206965036029
121156586988007
1357726c674470
14268167699d0b
151252a0474a71
hex918cc494a07

10002111220231 has 64 divisors (see below), whose sum is σ = 11902052131200. Its totient is φ = 8321292435456.

The previous prime is 10002111220183. The next prime is 10002111220237. The reversal of 10002111220231 is 13202211120001.

It is not a de Polignac number, because 10002111220231 - 221 = 10002109123079 is a prime.

It is a super-2 number, since 2×100021112202312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002111220237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85481575 + ... + 85598503.

It is an arithmetic number, because the mean of its divisors is an integer number (185969564550).

Almost surely, 210002111220231 is an apocalyptic number.

10002111220231 is a deficient number, since it is larger than the sum of its proper divisors (1899940910969).

10002111220231 is a wasteful number, since it uses less digits than its factorization.

10002111220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117188.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10002111220231 its reverse (13202211120001), we get a palindrome (23204322340232).

The spelling of 10002111220231 in words is "ten trillion, two billion, one hundred eleven million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 13 17 53 67 109 221 689 871 901 1139 1417 1853 3551 5777 7303 11713 14807 24089 46163 60367 75101 94939 98209 116929 124151 387059 784771 1276717 1520077 1613963 1987793 5031767 6197237 6580003 7834243 12745261 25841309 80564081 85540039 101845159 105353029 133182131 165688393 216669437 415214879 675498833 853932487 1369589377 1731367703 2816702681 5397793427 7058652943 8781484829 11101122331 11483480161 14516852279 45258421811 91762488259 149285242093 188719079627 588359483543 769393170787 10002111220231