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102005115102 = 23311712418673
BaseRepresentation
bin101111011111111111…
…0101000100011011110
3100202021220121202002000
41132333332220203132
53132401302140402
6114505511343130
710240532113062
oct1367776504336
9322256552060
10102005115102
113a295256820
1217929381aa6
139808058097
144d1948baa2
1529c02acc1c
hex17bffa88de

102005115102 has 64 divisors (see below), whose sum is σ = 250768120320. Its totient is φ = 30475267200.

The previous prime is 102005115083. The next prime is 102005115109. The reversal of 102005115102 is 201511500201.

102005115102 is a `hidden beast` number, since 102 + 0 + 0 + 51 + 1 + 510 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102005115109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167163 + ... + 1251510.

It is an arithmetic number, because the mean of its divisors is an integer number (3918251880).

Almost surely, 2102005115102 is an apocalyptic number.

102005115102 is an abundant number, since it is smaller than the sum of its proper divisors (148763005218).

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

102005115102 is a wasteful number, since it uses less digits than its factorization.

102005115102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418766 (or 2418760 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 102005115102 its reverse (201511500201), we get a palindrome (303516615303).

The spelling of 102005115102 in words is "one hundred two billion, five million, one hundred fifteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 198 213 297 426 594 639 781 1278 1562 1917 2343 3834 4686 7029 14058 21087 42174 2418673 4837346 7256019 14512038 21768057 26605403 43536114 53210806 65304171 79816209 130608342 159632418 171725783 239448627 343451566 478897254 515177349 718345881 1030354698 1436691762 1545532047 1888983613 3091064094 3777967226 4636596141 5666950839 9273192282 11333901678 17000852517 34001705034 51002557551 102005115102