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102334011130344 = 23374147316103279
BaseRepresentation
bin10111010001001001111110…
…011000011100000111101000
3111102100000222012000211210010
4113101021332120130013220
5101403120023322132334
61001351332401251520
730361250123333250
oct2721117630340750
9442300865024703
10102334011130344
112a674679493944
12b589025333ba0
1345140958bb8c6
141b3adc785c960
15bc6e20ca80e9
hex5d127e61c1e8

102334011130344 has 128 divisors (see below), whose sum is σ = 305886821990400. Its totient is φ = 27918241512960.

The previous prime is 102334011130321. The next prime is 102334011130363. The reversal of 102334011130344 is 443031110433201.

It is an unprimeable number.

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, 157727904 + ... + 158375375.

It is an arithmetic number, because the mean of its divisors is an integer number (2389740796800).

Almost surely, 2102334011130344 is an apocalyptic number.

102334011130344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102334011130344 is an abundant number, since it is smaller than the sum of its proper divisors (203552810860056).

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

102334011130344 is a wasteful number, since it uses less digits than its factorization.

102334011130344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316103383 (or 316103379 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 102334011130344 its reverse (443031110433201), we get a palindrome (545365121563545).

The spelling of 102334011130344 in words is "one hundred two trillion, three hundred thirty-four billion, eleven million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 47 56 82 84 94 123 141 164 168 188 246 282 287 328 329 376 492 564 574 658 861 984 987 1128 1148 1316 1722 1927 1974 2296 2632 3444 3854 3948 5781 6888 7708 7896 11562 13489 15416 23124 26978 40467 46248 53956 80934 107912 161868 323736 316103279 632206558 948309837 1264413116 1896619674 2212722953 2528826232 3793239348 4425445906 6638168859 7586478696 8850891812 12960234439 13276337718 14856854113 17701783624 25920468878 26552675436 29713708226 38880703317 44570562339 51840937756 53105350872 59427416452 77761406634 89141124678 90721641073 103681875512 103997978791 118854832904 155522813268 178282249356 181443282146 207995957582 272164923219 311045626536 311993936373 356564498712 362886564292 415991915164 544329846438 609131018633 623987872746 725773128584 831983830328 1088659692876 1218262037266 1247975745492 1827393055899 2177319385752 2436524074532 2495951490984 3654786111798 4263917130431 4873048149064 7309572223596 8527834260862 12791751391293 14619144447192 17055668521724 25583502782586 34111337043448 51167005565172 102334011130344