Search a number
-
+
100482282135116 = 22726417618231277
BaseRepresentation
bin10110110110001101011010…
…101110111001111001001100
3111011210000100000020110010022
4112312031122232321321030
5101132300203211310431
6553412531222401312
730110414423512100
oct2666153256717114
9434700300213108
10100482282135116
112a020329774532
12b32a180b90238
13440b5916478ab
141ab5522c8b900
15b93b94bca07b
hex5b635abb9e4c

100482282135116 has 144 divisors (see below), whose sum is σ = 205551646840512. Its totient is φ = 42854392627200.

The previous prime is 100482282135073. The next prime is 100482282135127. The reversal of 100482282135116 is 611531282284001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78686203070 + ... + 78686204346.

It is an arithmetic number, because the mean of its divisors is an integer number (1427441991948).

Almost surely, 2100482282135116 is an apocalyptic number.

It is an amenable number.

100482282135116 is an abundant number, since it is smaller than the sum of its proper divisors (105069364705396).

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

100482282135116 is a wasteful number, since it uses less digits than its factorization.

100482282135116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 100482282135116 in words is "one hundred trillion, four hundred eighty-two billion, two hundred eighty-two million, one hundred thirty-five thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 641 761 823 1277 1282 1522 1646 2554 2564 3044 3292 4487 5108 5327 5761 8939 8974 10654 11522 17878 17948 21308 23044 31409 35756 37289 40327 62573 62818 74578 80654 125146 125636 149156 161308 250292 487801 527543 626303 818557 971797 975602 1050971 1055086 1252606 1637114 1943594 1951204 2101942 2110172 2505212 3274228 3414607 3692801 3887188 4203884 4384121 5729899 6802579 6829214 7356797 7385602 8768242 11459798 13605158 13658428 14713594 14771204 17536484 22919596 23902249 25849607 27210316 29427188 30688847 40109293 47618053 47804498 51497579 51699214 61377694 80218586 95236106 95608996 102995158 103398428 122755388 160437172 190472212 205990316 401460223 622921877 673672411 799788931 802920446 1245843754 1347344822 1599577862 1605840892 2491687508 2694689644 2810221561 3199155724 4360453139 4715706877 5598522517 5620443122 8720906278 9431413754 11197045034 11240886244 17441812556 18862827508 19671550927 22394090068 30523171973 33009948139 39189657619 39343101854 61046343946 66019896278 78379315238 78686203708 122092687892 132039792556 156758630476 512664704771 1025329409542 2050658819084 3588652933397 7177305866794 14354611733588 25120570533779 50241141067558 100482282135116