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20201865102 = 23417192913313
BaseRepresentation
bin10010110100000111…
…111111111110001110
31221010220101002010000
4102310013333332032
5312333134140402
613140340025130
71313423006616
oct226407777616
957126332100
1020201865102
118627476291
123ab96921a6
131b9c465b43
14d99031a46
157d3842c1c
hex4b41fff8e

20201865102 has 160 divisors (see below), whose sum is σ = 52196205600. Its totient is φ = 5796790272.

The previous prime is 20201865091. The next prime is 20201865109. The reversal of 20201865102 is 20156810202.

It is a happy number.

20201865102 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 8 + 651 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201865109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1510798 + ... + 1524110.

It is an arithmetic number, because the mean of its divisors is an integer number (326226285).

Almost surely, 220201865102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201865102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26098102800).

20201865102 is an abundant number, since it is smaller than the sum of its proper divisors (31994340498).

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

20201865102 is a wasteful number, since it uses less digits than its factorization.

20201865102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13392 (or 13383 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20201865102 in words is "twenty billion, two hundred one million, eight hundred sixty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 19 27 29 34 38 51 54 57 58 81 87 102 114 153 162 171 174 261 306 323 342 459 493 513 522 551 646 783 918 969 986 1026 1102 1377 1479 1539 1566 1653 1938 2349 2754 2907 2958 3078 3306 4437 4698 4959 5814 8721 8874 9367 9918 13311 13313 14877 17442 18734 26163 26622 26626 28101 29754 39933 39939 44631 52326 56202 79866 79878 84303 89262 119817 168606 226321 239634 252909 252947 359451 386077 452642 505818 505894 678963 718902 758727 758841 772154 1078353 1158231 1357926 1517454 1517682 2036889 2156706 2276523 2316462 3474693 4073778 4300099 4553046 6110667 6563309 6829569 6949386 7335463 8600198 10424079 12221334 12900297 13126618 13659138 14670926 18332001 19689927 20488707 20848158 22006389 25800594 31272237 36664002 38700891 39379854 40977414 44012778 59069781 62544474 66019167 77401782 116102673 118139562 124702871 132038334 177209343 198057501 232205346 249405742 348308019 354418686 374108613 396115002 531628029 594172503 696616038 748217226 1063256058 1122325839 1188345006 2244651678 3366977517 6733955034 10100932551 20201865102