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102126726702 = 232711132436003
BaseRepresentation
bin101111100011100111…
…0100010111000101110
3100202121101110020211100
41133013032202320232
53133123420223302
6114525534103530
710243536565620
oct1370716427056
9322541406740
10102126726702
113a347969380
121796204aba6
1398272c7700
144d2b6a6c10
1529cacd0d1c
hex17c73a2e2e

102126726702 has 144 divisors (see below), whose sum is σ = 298729012608. Its totient is φ = 24485872320.

The previous prime is 102126726673. The next prime is 102126726719. The reversal of 102126726702 is 207627621201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16233 + ... + 452235.

It is an arithmetic number, because the mean of its divisors is an integer number (2074507032).

Almost surely, 2102126726702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102126726702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149364506304).

102126726702 is an abundant number, since it is smaller than the sum of its proper divisors (196602285906).

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

102126726702 is a wasteful number, since it uses less digits than its factorization.

102126726702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436055 (or 436039 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

It can be divided in two parts, 102126 and 726702, that added together give a palindrome (828828).

The spelling of 102126726702 in words is "one hundred two billion, one hundred twenty-six million, seven hundred twenty-six thousand, seven hundred two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 169 182 198 231 234 273 286 338 429 462 507 546 693 819 858 1001 1014 1183 1287 1386 1521 1638 1859 2002 2366 2574 3003 3042 3549 3718 5577 6006 7098 9009 10647 11154 13013 16731 18018 21294 26026 33462 39039 78078 117117 234234 436003 872006 1308009 2616018 3052021 3924027 4796033 5668039 6104042 7848054 9156063 9592066 11336078 14388099 17004117 18312126 27468189 28776198 33572231 34008234 39676273 43164297 51012351 54936378 62348429 67144462 73684507 79352546 86328594 100716693 102024702 119028819 124696858 147369014 187045287 201433386 221053521 238057638 302150079 357086457 374090574 436439003 442107042 515791549 561135861 604300158 663160563 714172914 810529577 872878006 1031583098 1122271722 1309317009 1326321126 1547374647 1621059154 2431588731 2618634018 3094749294 3927951027 4642123941 4863177462 5673707039 7294766193 7855902054 9284247882 11347414078 14589532386 17021121117 34042242234 51063363351 102126726702