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102276110445160 = 23547831297505357
BaseRepresentation
bin10111010000010100000011…
…001110110110101001101000
3111102010111111222200021120111
4113100110003032312221220
5101401142433233221120
61001304555124504104
730354130234540021
oct2720240316665150
9442114458607514
10102276110445160
112a652067017103
12b57996654b034
13450b79906c742
141b38293b17c48
15bc56829d475a
hex5d05033b6a68

102276110445160 has 128 divisors (see below), whose sum is σ = 238032835729920. Its totient is φ = 39527021924352.

The previous prime is 102276110445059. The next prime is 102276110445193. The reversal of 102276110445160 is 61544011672201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202131202 + ... + 202636558.

It is an arithmetic number, because the mean of its divisors is an integer number (1859631529140).

Almost surely, 2102276110445160 is an apocalyptic number.

102276110445160 is a gapful number since it is divisible by the number (10) 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 102276110445160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119016417864960).

102276110445160 is an abundant number, since it is smaller than the sum of its proper divisors (135756725284760).

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

102276110445160 is a wasteful number, since it uses less digits than its factorization.

102276110445160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506795 (or 506791 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 102276110445160 in words is "one hundred two trillion, two hundred seventy-six billion, one hundred ten million, four hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 83 94 166 188 235 332 376 415 470 664 830 940 1297 1660 1880 2594 3320 3901 5188 6485 7802 10376 12970 15604 19505 25940 31208 39010 51880 60959 78020 107651 121918 156040 215302 243836 304795 430604 487672 505357 538255 609590 861208 1010714 1076510 1219180 2021428 2153020 2438360 2526785 4042856 4306040 5053570 5059597 10107140 10119194 20214280 20238388 23751779 25297985 40476776 41944631 47503558 50595970 83889262 95007116 101191940 118758895 167778524 190014232 202383880 209723155 237517790 335557048 419446310 475035580 655448029 838892620 950071160 1310896058 1677785240 1971397657 2621792116 3277240145 3942795314 5243584232 6554480290 7885590628 9856988285 13108960580 15771181256 19713976570 26217921160 30806057363 39427953140 54402186407 61612114726 78855906280 108804372814 123224229452 154030286815 217608745628 246448458904 272010932035 308060573630 435217491256 544021864070 616121147260 1088043728140 1232242294520 2176087456280 2556902761129 5113805522258 10227611044516 12784513805645 20455222089032 25569027611290 51138055222580 102276110445160