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100433440241112 = 233111933284360017
BaseRepresentation
bin10110110101011111111011…
…100001110111010111011000
3111011121100021010121011021010
4112311133323201313113120
5101131000141200203422
6553334252511213520
730104035163330466
oct2665377341672730
9434540233534233
10100433440241112
112a0016457a3680
12b32080bb172a0
134406aa97c16b4
141ab300c2a3836
15b92786d47b0c
hex5b57fb8775d8

100433440241112 has 128 divisors (see below), whose sum is σ = 275341572898560. Its totient is φ = 30275258449920.

The previous prime is 100433440241107. The next prime is 100433440241129. The reversal of 100433440241112 is 211142044334001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100433440241112.

It is a congruent number.

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, 1673386528 + ... + 1673446544.

It is an arithmetic number, because the mean of its divisors is an integer number (2151106038270).

Almost surely, 2100433440241112 is an apocalyptic number.

100433440241112 is a gapful number since it is divisible by the number (12) 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 100433440241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137670786449280).

100433440241112 is an abundant number, since it is smaller than the sum of its proper divisors (174908132657448).

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

100433440241112 is a wasteful number, since it uses less digits than its factorization.

100433440241112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93073 (or 93069 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 100433440241112 its reverse (211142044334001), we get a palindrome (311575484575113).

The spelling of 100433440241112 in words is "one hundred trillion, four hundred thirty-three billion, four hundred forty million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 264 386 579 772 1158 1544 2123 2316 4246 4632 6369 8492 12738 16984 25476 32843 50952 60017 65686 98529 120034 131372 180051 197058 240068 262744 360102 361273 394116 480136 660187 720204 722546 788232 1083819 1320374 1440408 1445092 1980561 2167638 2640748 2890184 3961122 4335276 5281496 6338699 7922244 8670552 11583281 12677398 15844488 19016097 23166562 25354796 34749843 38032194 46333124 50709592 69499686 69725689 76064388 92666248 127416091 138999372 139451378 152128776 209177067 254832182 277998744 278902756 382248273 418354134 509664364 557805512 764496546 836708268 1019328728 1528993092 1673416536 1971138331 3057986184 3942276662 5913414993 7884553324 11826829986 15769106648 21682521641 23653659972 43365043282 47307319944 65047564923 86730086564 130095129846 173460173128 260190259692 380429697883 520380519384 760859395766 1141289093649 1521718791532 2282578187298 3043437583064 4184726676713 4565156374596 8369453353426 9130312749192 12554180030139 16738906706852 25108360060278 33477813413704 50216720120556 100433440241112