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100431321320424 = 2331011131193307339
BaseRepresentation
bin10110110101011101111101…
…001110110100101111101000
3111011121010210110110211112010
4112311131331032310233220
5101130431321224223144
6553333302335315520
730103631523651243
oct2665357516645750
9434533713424463
10100431321320424
112a000758712156
12b32031a37bba0
13440682c80a783
141ab2c8aad025a
15b926b0ce45b9
hex5b577d3b4be8

100431321320424 has 128 divisors (see below), whose sum is σ = 256023415612800. Its totient is φ = 32824681881600.

The previous prime is 100431321320371. The next prime is 100431321320441. The reversal of 100431321320424 is 424023123134001.

It is a junction number, because it is equal to n+sod(n) for n = 100431321320391 and 100431321320400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326623347 + ... + 326930685.

It is an arithmetic number, because the mean of its divisors is an integer number (2000182934475).

Almost surely, 2100431321320424 is an apocalyptic number.

It is an amenable number.

100431321320424 is an abundant number, since it is smaller than the sum of its proper divisors (155592094292376).

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

100431321320424 is a wasteful number, since it uses less digits than its factorization.

100431321320424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308755 (or 308751 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 100431321320424 its reverse (424023123134001), we get a palindrome (524454444454425).

The spelling of 100431321320424 in words is "one hundred trillion, four hundred thirty-one billion, three hundred twenty-one million, three hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 101 113 202 226 303 339 404 452 606 678 808 904 1193 1212 1356 2386 2424 2712 3579 4772 7158 9544 11413 14316 22826 28632 34239 45652 68478 91304 120493 134809 136956 240986 269618 273912 307339 361479 404427 481972 539236 614678 722958 808854 922017 963944 1078472 1229356 1445916 1617708 1844034 2458712 2891832 3235416 3688068 7376136 13615709 27231418 31041239 34729307 40847127 54462836 62082478 69458614 81694254 93123717 104187921 108925672 124164956 138917228 163388508 186247434 208375842 248329912 277834456 326777016 366655427 372494868 416751684 733310854 744989736 833503368 1099966281 1466621708 2199932562 2933243416 3507660007 4399865124 7015320014 8799730248 10522980021 14030640028 21045960042 28061280056 37032198127 41432063251 42091920084 74064396254 82864126502 84183840168 111096594381 124296189753 148128792508 165728253004 222193188762 248592379506 296257585016 331456506008 444386377524 497184759012 888772755048 994369518024 4184638388351 8369276776702 12553915165053 16738553553404 25107830330106 33477107106808 50215660660212 100431321320424