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102102330231 = 32112831318623
BaseRepresentation
bin101111100010111000…
…1011110101101110111
3100202112200112210011100
41133011301132231313
53133101144031411
6114523303141143
710243122326106
oct1370561365567
9322480483140
10102102330231
113a335115a00
1217955a447b3
139822235125
144d2835603d
1529c8ab2456
hex17c5c5eb77

102102330231 has 72 divisors (see below), whose sum is σ = 165332014848. Its totient is φ = 60660943200.

The previous prime is 102102330229. The next prime is 102102330251. The reversal of 102102330231 is 132033201201.

102102330231 is a `hidden beast` number, since 1 + 0 + 2 + 102 + 330 + 231 = 666.

It is not a de Polignac number, because 102102330231 - 21 = 102102330229 is a prime.

It is a super-2 number, since 2×1021023302312 (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 (102102330251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11836386 + ... + 11845008.

It is an arithmetic number, because the mean of its divisors is an integer number (2296277984).

Almost surely, 2102102330231 is an apocalyptic number.

102102330231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102102330231 is a deficient number, since it is larger than the sum of its proper divisors (63229684617).

102102330231 is a wasteful number, since it uses less digits than its factorization.

102102330231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102102330231 its reverse (132033201201), we get a palindrome (234135531432).

The spelling of 102102330231 in words is "one hundred two billion, one hundred two million, three hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 83 99 121 131 249 363 393 747 913 1089 1179 1441 2739 4323 8217 8623 10043 10873 12969 15851 25869 30129 32619 47553 77607 90387 94853 97857 119603 142659 284559 358809 715709 853677 1043383 1076427 1129613 1315633 2147127 3130149 3388839 3946899 6441381 7872799 9390447 10166517 11840697 12425743 23618397 37277229 70855191 86600789 93757879 111831687 136683173 259802367 281273637 410049519 779407101 843820911 1031336669 1230148557 3094010007 9282030021 11344703359 34034110077 102102330231