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102255313152 = 283601221539
BaseRepresentation
bin101111100111011100…
…1000100000100000000
3100202221100102010021110
41133032321010010000
53133404330010102
6114550410123320
710246660551336
oct1371671040400
9322840363243
10102255313152
113a403505273
1217999120540
139847b39975
144d407b9b56
1529d723086c
hex17cee44100

102255313152 has 72 divisors (see below), whose sum is σ = 272602311520. Its totient is φ = 34028236800.

The previous prime is 102255313141. The next prime is 102255313183. The reversal of 102255313152 is 251313552201.

It is a super-2 number, since 2×1022553131522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350799 + ... + 572337.

Almost surely, 2102255313152 is an apocalyptic number.

102255313152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102255313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136301155760).

102255313152 is an abundant number, since it is smaller than the sum of its proper divisors (170346998368).

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

102255313152 is an equidigital number, since it uses as much as digits as its factorization.

102255313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222159 (or 222145 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 102255313152 its reverse (251313552201), we get a palindrome (353568865353).

The spelling of 102255313152 in words is "one hundred two billion, two hundred fifty-five million, three hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 601 768 1202 1803 2404 3606 4808 7212 9616 14424 19232 28848 38464 57696 76928 115392 153856 221539 230784 443078 461568 664617 886156 1329234 1772312 2658468 3544624 5316936 7089248 10633872 14178496 21267744 28356992 42535488 56713984 85070976 133144939 170141952 266289878 399434817 532579756 798869634 1065159512 1597739268 2130319024 3195478536 4260638048 6390957072 8521276096 12781914144 17042552192 25563828288 34085104384 51127656576 102255313152