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100993820230842 = 23721182733774781
BaseRepresentation
bin10110111101101001110100…
…110001111000010010111010
3111020120220200222102011011120
4112331221310301320102322
5101214140320434341332
6554443530455210110
730162364004545500
oct2675516461702272
9436526628364146
10100993820230842
112a1a8269687030
12b3b1342076936
1344478a4022c36
141ad21ac612670
15ba213373d32c
hex5bda74c784ba

100993820230842 has 96 divisors (see below), whose sum is σ = 256356739767744. Its totient is φ = 26228983334400.

The previous prime is 100993820230841. The next prime is 100993820230883. The reversal of 100993820230842 is 248032028399001.

100993820230842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100993820230841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24867492 + ... + 28642272.

It is an arithmetic number, because the mean of its divisors is an integer number (2670382705914).

Almost surely, 2100993820230842 is an apocalyptic number.

100993820230842 is an abundant number, since it is smaller than the sum of its proper divisors (155362919536902).

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

100993820230842 is a wasteful number, since it uses less digits than its factorization.

100993820230842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783084 (or 3783077 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 100993820230842 in words is "one hundred trillion, nine hundred ninety-three billion, eight hundred twenty million, two hundred thirty thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 8273 16546 24819 49638 57911 91003 115822 173733 182006 273009 347466 405377 546018 637021 810754 1216131 1274042 1911063 2432262 3774781 3822126 4459147 7549562 8918294 11324343 13377441 22648686 26423467 26754882 41522591 52846934 79270401 83045182 124567773 158540802 184964269 249135546 290658137 369928538 554892807 581316274 871974411 1109785614 1743948822 2034606959 4069213918 6103820877 12207641754 31228763213 62457526426 93686289639 187372579278 218601342491 343516395343 437202684982 655804027473 687032790686 1030549186029 1311608054946 1530209397437 2061098372058 2404614767401 3060418794874 4590628192311 4809229534802 7213844302203 9181256384622 14427688604406 16832303371807 33664606743614 50496910115421 100993820230842