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10102384912 = 2417414321067
BaseRepresentation
bin10010110100010011…
…00010100100010000
3222002001102022211011
421122021202210100
5131142202304122
64350241100304
7505226566144
oct113211424420
928061368734
1010102384912
114314595344
121b5b327694
13c4cc87669
146bb9b5224
153e1d84377
hex25a262910

10102384912 has 80 divisors (see below), whose sum is σ = 21724984512. Its totient is φ = 4530032640.

The previous prime is 10102384891. The next prime is 10102384931. The reversal of 10102384912 is 21948320101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469003 + ... + 490069.

Almost surely, 210102384912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102384912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10862492256).

10102384912 is an abundant number, since it is smaller than the sum of its proper divisors (11622599600).

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

10102384912 is a wasteful number, since it uses less digits than its factorization.

10102384912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21176 (or 21170 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 10102384912 in words is "ten billion, one hundred two million, three hundred eighty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 34 41 43 68 82 86 136 164 172 272 328 344 656 688 697 731 1394 1462 1763 2788 2924 3526 5576 5848 7052 11152 11696 14104 21067 28208 29971 42134 59942 84268 119884 168536 239768 337072 358139 479536 716278 863747 905881 1432556 1727494 1811762 2865112 3454988 3623524 5730224 6909976 7247048 13819952 14494096 14683699 15399977 29367398 30799954 37141121 58734796 61599908 74282242 117469592 123199816 148564484 234939184 246399632 297128968 594257936 631399057 1262798114 2525596228 5051192456 10102384912