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102320331210 = 232519187131981
BaseRepresentation
bin101111101001011000…
…1000101100111001010
3100210002212202101021200
41133102301011213022
53134023001044320
6115001051445030
710251410315346
oct1372261054712
9323085671250
10102320331210
113a4371832a9
12179b6a56776
1398584529a6
144d492a2626
1529dccc5290
hex17d2c459ca

102320331210 has 96 divisors (see below), whose sum is σ = 280193022720. Its totient is φ = 25834723200.

The previous prime is 102320331203. The next prime is 102320331233. The reversal of 102320331210 is 12133023201.

102320331210 is a `hidden beast` number, since 1 + 0 + 2 + 320 + 331 + 2 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3183420 + ... + 3215400.

It is an arithmetic number, because the mean of its divisors is an integer number (2918677320).

Almost surely, 2102320331210 is an apocalyptic number.

102320331210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102320331210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140096511360).

102320331210 is an abundant number, since it is smaller than the sum of its proper divisors (177872691510).

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

102320331210 is a wasteful number, since it uses less digits than its factorization.

102320331210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33884 (or 33881 counting only the distinct ones).

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

Adding to 102320331210 its reverse (12133023201), we get a palindrome (114453354411).

The spelling of 102320331210 in words is "one hundred two billion, three hundred twenty million, three hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 1871 3742 5613 9355 11226 16839 18710 28065 31981 33678 35549 56130 63962 71098 84195 95943 106647 159905 168390 177745 191886 213294 287829 319810 319941 355490 479715 533235 575658 607639 639882 959430 1066470 1215278 1439145 1599705 1822917 2878290 3038195 3199410 3645834 5468751 6076390 9114585 10937502 18229170 27343755 54687510 59836451 119672902 179509353 299182255 359018706 538528059 598364510 897546765 1077056118 1136892569 1795093530 2273785138 2692640295 3410677707 5385280590 5684462845 6821355414 10232033121 11368925690 17053388535 20464066242 34106777070 51160165605 102320331210