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102021119984 = 2471723151913
BaseRepresentation
bin101111100000011101…
…1101011111111110000
3100202100000201212122102
41133000323223333300
53132414401314414
6114511242355532
710241115132410
oct1370073537760
9322300655572
10102021119984
113a2a32984a3
12179327bbba8
13980b46cc24
144d1b656640
1529c18beede
hex17c0eebff0

102021119984 has 60 divisors (see below), whose sum is σ = 239974124304. Its totient is φ = 41151363072.

The previous prime is 102021119971. The next prime is 102021120023. The reversal of 102021119984 is 489911120201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1543589 + ... + 1608324.

Almost surely, 2102021119984 is an apocalyptic number.

102021119984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102021119984 is an abundant number, since it is smaller than the sum of its proper divisors (137953004320).

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

102021119984 is a wasteful number, since it uses less digits than its factorization.

102021119984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151962 (or 3151939 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

The spelling of 102021119984 in words is "one hundred two billion, twenty-one million, one hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 952 1156 1904 2023 2312 4046 4624 8092 16184 32368 3151913 6303826 12607652 22063391 25215304 44126782 50430608 53582521 88253564 107165042 176507128 214330084 353014256 375077647 428660168 750155294 857320336 910902857 1500310588 1821805714 3000621176 3643611428 6001242352 6376319999 7287222856 12752639998 14574445712 25505279996 51010559992 102021119984