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102373330400 = 255211109110663
BaseRepresentation
bin101111101010111101…
…1010000110111100000
3100210020120111000111122
41133111323100313200
53134130033033100
6115010223431412
710252622644055
oct1372573206740
9323216430448
10102373330400
113a464092390
1217a10755568
13986641b263
144d5233b02c
1529e2793985
hex17d5ed0de0

102373330400 has 144 divisors (see below), whose sum is σ = 272914282368. Its totient is φ = 37189056000.

The previous prime is 102373330357. The next prime is 102373330439. The reversal of 102373330400 is 4033373201.

It is a self number, because there is not a number n which added to its sum of digits gives 102373330400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9595469 + ... + 9606131.

It is an arithmetic number, because the mean of its divisors is an integer number (1895238072).

Almost surely, 2102373330400 is an apocalyptic number.

102373330400 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 102373330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136457141184).

102373330400 is an abundant number, since it is smaller than the sum of its proper divisors (170540951968).

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

102373330400 is a wasteful number, since it uses less digits than its factorization.

102373330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11785 (or 11772 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 26.

The spelling of 102373330400 in words is "one hundred two billion, three hundred seventy-three million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1091 1100 1760 2182 2200 4364 4400 5455 8728 8800 10663 10910 12001 17456 21326 21820 24002 27275 34912 42652 43640 48004 53315 54550 60005 85304 87280 96008 106630 109100 117293 120010 170608 174560 192016 213260 218200 234586 240020 266575 300025 341216 384032 426520 436400 469172 480040 533150 586465 600050 853040 872800 938344 960080 1066300 1172930 1200100 1706080 1876688 1920160 2132600 2345860 2400200 2932325 3753376 4265200 4691720 4800400 5864650 8530400 9383440 9600800 11633333 11729300 18766880 23266666 23458600 46533332 46917200 58166665 93066664 93834400 116333330 127966663 186133328 232666660 255933326 290833325 372266656 465333320 511866652 581666650 639833315 930666640 1023733304 1163333300 1279666630 1861333280 2047466608 2326666600 2559333260 3199166575 4094933216 4653333200 5118666520 6398333150 9306666400 10237333040 12796666300 20474666080 25593332600 51186665200 102373330400