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100322142224424 = 23353832413942889
BaseRepresentation
bin10110110011111000010001…
…101001101000000000101000
3111011012200222120202002201220
4112303320101221220000220
5101122134221402140144
6553211204512342040
730063015130650021
oct2663702151500050
9434180876662656
10100322142224424
1129a694219903aa
12b30312a544920
1343c94504024a3
141aab890957c48
15b8e920d02919
hex5b3e11a68028

100322142224424 has 128 divisors (see below), whose sum is σ = 259689460060800. Its totient is φ = 32279950909440.

The previous prime is 100322142224419. The next prime is 100322142224443. The reversal of 100322142224424 is 424422241223001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23472372 + ... + 27415260.

It is an arithmetic number, because the mean of its divisors is an integer number (2028823906725).

Almost surely, 2100322142224424 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 100322142224424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129844730030400).

100322142224424 is an abundant number, since it is smaller than the sum of its proper divisors (159367317836376).

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

100322142224424 is a wasteful number, since it uses less digits than its factorization.

100322142224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943275 (or 3943271 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 100322142224424 its reverse (424422241223001), we get a palindrome (524744383447425).

The spelling of 100322142224424 in words is "one hundred trillion, three hundred twenty-two billion, one hundred forty-two million, two hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 83 106 159 166 212 241 249 318 332 424 482 498 636 664 723 964 996 1272 1446 1928 1992 2892 4399 5784 8798 12773 13197 17596 20003 25546 26394 35192 38319 40006 51092 52788 60009 76638 80012 102184 105576 120018 153276 160024 240036 306552 480072 1060159 2120318 3180477 3942889 4240636 6360954 7885778 8481272 11828667 12721908 15771556 23657334 25443816 31543112 47314668 94629336 208973117 327259787 417946234 626919351 654519574 835892468 950236249 981779361 1253838702 1309039148 1671784936 1900472498 1963558722 2507677404 2618078296 2850708747 3800944996 3927117444 5015354808 5701417494 7601889992 7854234888 11402834988 17344768711 22805669976 34689537422 50362521197 52034306133 69379074844 78869608667 100725042394 104068612266 138758149688 151087563591 157739217334 201450084788 208137224532 236608826001 302175127182 315478434668 402900169576 416274449064 473217652002 604350254364 630956869336 946435304004 1208700508728 1892870608008 4180089259351 8360178518702 12540267778053 16720357037404 25080535556106 33440714074808 50161071112212 100322142224424