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100442202432 = 26311133658297
BaseRepresentation
bin101110110001011010…
…0100110000101000000
3100121020222201112221120
41131202310212011000
53121201200434212
6114050440552240
710154023430265
oct1354264460500
9317228645846
10100442202432
1139663006360
1217571a82680
1396193091a0
144c0ba8d26c
15292ce8788c
hex1762d26140

100442202432 has 112 divisors (see below), whose sum is σ = 312213784512. Its totient is φ = 28095713280.

The previous prime is 100442202389. The next prime is 100442202451. The reversal of 100442202432 is 234202244001.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1801693 + ... + 1856604.

It is an arithmetic number, because the mean of its divisors is an integer number (2787623076).

Almost surely, 2100442202432 is an apocalyptic number.

100442202432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100442202432 is an abundant number, since it is smaller than the sum of its proper divisors (211771582080).

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

100442202432 is a wasteful number, since it uses less digits than its factorization.

100442202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658336 (or 3658326 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100442202432 its reverse (234202244001), we get a palindrome (334644446433).

The spelling of 100442202432 in words is "one hundred billion, four hundred forty-two million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 3658297 7316594 10974891 14633188 21949782 29266376 40241267 43899564 47557861 58532752 80482534 87799128 95115722 117065504 120723801 142673583 160965068 175598256 190231444 234131008 241447602 285347166 321930136 351196512 380462888 482895204 523136471 570694332 643860272 702393024 760925776 965790408 1046272942 1141388664 1287720544 1521851552 1569409413 1931580816 2092545884 2282777328 2575441088 3043703104 3138818826 3863161632 4185091768 4565554656 6277637652 7726323264 8370183536 9131109312 12555275304 16740367072 25110550608 33480734144 50221101216 100442202432