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21130102421304 = 23343186727414001
BaseRepresentation
bin1001100110111101111000…
…01111111011011100111000
32202211000111011112201101020
410303132330033323130320
510232143422204440204
6112535011323022440
74310412431063442
oct463367417733470
982730434481336
1021130102421304
116807253a57768
1224531a466aa20
13ba3738734a06
145309b95d1492
15269998442bd9
hex1337bc3fb738

21130102421304 has 128 divisors (see below), whose sum is σ = 54115955815680. Its totient is φ = 6871656960000.

The previous prime is 21130102421257. The next prime is 21130102421341. The reversal of 21130102421304 is 40312420103112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5281203304 + ... + 5281207304.

It is an arithmetic number, because the mean of its divisors is an integer number (422780904810).

Almost surely, 221130102421304 is an apocalyptic number.

21130102421304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21130102421304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27057977907840).

21130102421304 is an abundant number, since it is smaller than the sum of its proper divisors (32985853394376).

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

21130102421304 is a wasteful number, since it uses less digits than its factorization.

21130102421304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21130102421304 its reverse (40312420103112), we get a palindrome (61442522524416).

The spelling of 21130102421304 in words is "twenty-one trillion, one hundred thirty billion, one hundred two million, four hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1867 2741 3734 4001 5482 5601 7468 8002 8223 10964 11202 12003 14936 16004 16446 21928 22404 24006 32008 32892 44808 48012 65784 80281 96024 117863 160562 172043 235726 240843 321124 344086 353589 471452 481686 516129 642248 688172 707178 942904 963372 1032258 1376344 1414356 1926744 2064516 2828712 4129032 5117447 7469867 10234894 10966741 14939734 15352341 20469788 21933482 22409601 29879468 30704682 32900223 40939576 43866964 44819202 59758936 61409364 65800446 87733928 89638404 122818728 131600892 179276808 220050221 263201784 321204281 440100442 471569863 642408562 660150663 880200884 943139726 963612843 1284817124 1320301326 1414709589 1760401768 1886279452 1927225686 2569634248 2640602652 2829419178 3772558904 3854451372 5281205304 5658838356 7708902744 11317676712 20474905447 40949810894 61424716341 81899621788 122849432682 163799243576 245698865364 491397730728 880420934221 1760841868442 2641262802663 3521683736884 5282525605326 7043367473768 10565051210652 21130102421304