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21142085323331 = 71735918715569
BaseRepresentation
bin1001100111010100001100…
…11111000100101001000011
32202212011102021111012201102
410303222012133010221003
510232342442320321311
6112544312342125015
74311315404056040
oct463520637045103
982764367435642
1021142085323331
116811342aa0385
12245558972076b
13ba48c8190c9b
145313d4c3c1c7
15269e4a43743b
hex133a867c4a43

21142085323331 has 64 divisors (see below), whose sum is σ = 26125991424000. Its totient is φ = 16754748088320.

The previous prime is 21142085323319. The next prime is 21142085323357. The reversal of 21142085323331 is 13332358024112.

It is not a de Polignac number, because 21142085323331 - 230 = 21141011581507 is a prime.

It is a super-2 number, since 2×211420853233312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21142085329331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3796385315 + ... + 3796390883.

It is an arithmetic number, because the mean of its divisors is an integer number (408218616000).

Almost surely, 221142085323331 is an apocalyptic number.

21142085323331 is a deficient number, since it is larger than the sum of its proper divisors (4983906100669).

21142085323331 is an equidigital number, since it uses as much as digits as its factorization.

21142085323331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 21142085323331 in words is "twenty-one trillion, one hundred forty-two billion, eighty-five million, three hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 7 17 59 119 289 413 1003 1871 2023 4913 5569 7021 13097 17051 31807 34391 38983 94673 110389 119357 222649 289867 328571 540719 662711 772723 1609441 1876613 2029069 2299997 3785033 5585707 9192223 10419599 11266087 13136291 27360497 31902421 39099949 64345561 72937193 94957019 177133183 191523479 223316947 542341157 614756341 664699133 1239932281 1614269323 3011264111 3796388099 4303294387 10450857797 11299885261 21078848777 51191489887 73156004579 177664582549 358340429209 1243652077843 3020297903333 21142085323331