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100411324324432 = 24113715719815041
BaseRepresentation
bin10110110101001011010101…
…010100010101101001010000
3111011112020011211121011222221
4112311023111110111221100
5101130114343011340212
6553320154154310424
730102323136205342
oct2665132524255120
9434466154534887
10100411324324432
1129aa3226955090
12b318479428414
134404993945274
141ab1d10d8b292
15b91de046d807
hex5b52d5515a50

100411324324432 has 80 divisors (see below), whose sum is σ = 218107821795264. Its totient is φ = 44379684864000.

The previous prime is 100411324324393. The next prime is 100411324324471. The reversal of 100411324324432 is 234423423114001.

It is an interprime number because it is at equal distance from previous prime (100411324324393) and next prime (100411324324471).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5322832 + ... + 15137872.

Almost surely, 2100411324324432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100411324324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109053910897632).

100411324324432 is an abundant number, since it is smaller than the sum of its proper divisors (117696497470832).

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

100411324324432 is a wasteful number, since it uses less digits than its factorization.

100411324324432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9816668 (or 9816662 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 100411324324432 its reverse (234423423114001), we get a palindrome (334834747438433).

The spelling of 100411324324432 in words is "one hundred trillion, four hundred eleven billion, three hundred twenty-four million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1571 1628 3142 3256 6284 6512 12568 17281 25136 34562 58127 69124 116254 138248 232508 276496 465016 639397 930032 1278794 2557588 5115176 9815041 10230352 19630082 39260164 78520328 107965451 157040656 215930902 363156517 431861804 726313034 863723608 1452626068 1727447216 2905252136 3994721687 5810504272 7989443374 15419429411 15978886748 30838858822 31957773496 61677717644 63915546992 123355435288 169613723521 246710870576 339227447042 570518888207 678454894084 1141037776414 1356909788168 2282075552828 2713819576336 4564151105656 6275707770277 9128302211312 12551415540554 25102831081108 50205662162216 100411324324432