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21313414122 = 237111319186773
BaseRepresentation
bin10011110110011000…
…001110001111101010
32001000100221121201020
4103312120032033222
5322122213222442
613442524233310
71353111013410
oct236630161752
961010847636
1021313414122
119047959540
12416999b836
13201882b460
1410628d92b0
1584b20a9ec
hex4f660e3ea

21313414122 has 128 divisors (see below), whose sum is σ = 60245821440. Its totient is φ = 4841130240.

The previous prime is 21313414093. The next prime is 21313414139. The reversal of 21313414122 is 22141431312.

It is a junction number, because it is equal to n+sod(n) for n = 21313414092 and 21313414101.

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 63 ways as a sum of consecutive naturals, for example, 20728 + ... + 207500.

It is an arithmetic number, because the mean of its divisors is an integer number (470670480).

Almost surely, 221313414122 is an apocalyptic number.

21313414122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313414122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30122910720).

21313414122 is an abundant number, since it is smaller than the sum of its proper divisors (38932407318).

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

21313414122 is a wasteful number, since it uses less digits than its factorization.

21313414122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186828.

The product of its digits is 1152, while the sum is 24.

Adding to 21313414122 its reverse (22141431312), we get a palindrome (43454845434).

The spelling of 21313414122 in words is "twenty-one billion, three hundred thirteen million, four hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 19 21 22 26 33 38 39 42 57 66 77 78 91 114 133 143 154 182 209 231 247 266 273 286 399 418 429 462 494 546 627 741 798 858 1001 1254 1463 1482 1729 2002 2717 2926 3003 3458 4389 5187 5434 6006 8151 8778 10374 16302 19019 38038 57057 114114 186773 373546 560319 1120638 1307411 2054503 2428049 2614822 3548687 3922233 4109006 4856098 6163509 7097374 7284147 7844466 10646061 12327018 14381521 14568294 16996343 21292122 24840809 26708539 28763042 33992686 39035557 43144563 46132931 49681618 50989029 53417078 74522427 78071114 80125617 86289126 92265862 101978058 117106671 138398793 149044854 160251234 186959773 234213342 273248899 276797586 322930517 373919546 507462241 546497798 560879319 645861034 819746697 968791551 1014924482 1121758638 1522386723 1639493394 1937583102 3044773446 3552235687 7104471374 10656707061 21313414122