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102301322992 = 241125110972111
BaseRepresentation
bin101111101000110100…
…0100100111011110000
3100210001112222122220121
41133101220210323300
53134003114313432
6114555132220024
710251056616661
oct1372150447360
9323045878817
10102301322992
113a427480130
12179b060a614
139854528b1b
144d46955368
1529db2bd197
hex17d1a24ef0

102301322992 has 80 divisors (see below), whose sum is σ = 217390086144. Its totient is φ = 46251200000.

The previous prime is 102301322969. The next prime is 102301322993. The reversal of 102301322992 is 299223103201.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102301322993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48460017 + ... + 48462127.

Almost surely, 2102301322992 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 102301322992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108695043072).

102301322992 is an abundant number, since it is smaller than the sum of its proper divisors (115088763152).

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

102301322992 is a wasteful number, since it uses less digits than its factorization.

102301322992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 102301322992 in words is "one hundred two billion, three hundred one million, three hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 251 502 1004 1097 2008 2111 2194 2761 4016 4222 4388 5522 8444 8776 11044 12067 16888 17552 22088 23221 24134 33776 44176 46442 48268 92884 96536 185768 193072 275347 371536 529861 550694 1059722 1101388 2119444 2202776 2315767 3028817 4238888 4405552 4631534 5828471 6057634 8477776 9263068 11656942 12115268 18526136 23313884 24230536 25473437 37052272 46627768 48461072 50946874 93255536 101893748 203787496 407574992 581257517 1162515034 2325030068 4650060136 6393832687 9300120272 12787665374 25575330748 51150661496 102301322992