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102122130231 = 32112813670949
BaseRepresentation
bin101111100011011110…
…1000000101100110111
3100202121001210201122200
41133012331000230313
53133121231131411
6114525251355543
710243452533052
oct1370675005467
9322531721580
10102122130231
113a345309a40
12179605b2bb3
1398263784c4
144d2ac2ba99
1529ca6c3e56
hex17c6f40b37

102122130231 has 24 divisors (see below), whose sum is σ = 161492432400. Its totient is φ = 61671926400.

The previous prime is 102122130211. The next prime is 102122130251. The reversal of 102122130231 is 132031221201.

102122130231 is a `hidden beast` number, since 10 + 212 + 213 + 0 + 231 = 666.

It is an interprime number because it is at equal distance from previous prime (102122130211) and next prime (102122130251).

It is not a de Polignac number, because 102122130231 - 211 = 102122128183 is a prime.

It is a super-2 number, since 2×1021221302312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122130211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1807656 + ... + 1863293.

It is an arithmetic number, because the mean of its divisors is an integer number (6728851350).

Almost surely, 2102122130231 is an apocalyptic number.

102122130231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102122130231 is a deficient number, since it is larger than the sum of its proper divisors (59370302169).

102122130231 is a wasteful number, since it uses less digits than its factorization.

102122130231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671247 (or 3671244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102122130231 its reverse (132031221201), we get a palindrome (234153351432).

The spelling of 102122130231 in words is "one hundred two billion, one hundred twenty-two million, one hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 281 843 2529 3091 9273 27819 3670949 11012847 33038541 40380439 121141317 363423951 1031536669 3094610007 9283830021 11346903359 34040710077 102122130231