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22102020003312 = 2433891487386587
BaseRepresentation
bin1010000011010000001110…
…00011010001010111110000
32220020221011202221111111000
411001220013003101113300
510344104414110101222
6115001310001522000
74440550442161644
oct501500703212760
986227152844430
1022102020003312
117051461103347
12258b629943300
13c442999b6972
14565a5a152c24
15284dce5b29ac
hex141a070d15f0

22102020003312 has 160 divisors (see below), whose sum is σ = 64197112550400. Its totient is φ = 7279643238912.

The previous prime is 22102020003311. The next prime is 22102020003313. The reversal of 22102020003312 is 21330002020122.

It is an interprime number because it is at equal distance from previous prime (22102020003311) and next prime (22102020003313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102020003311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56978883 + ... + 57365469.

It is an arithmetic number, because the mean of its divisors is an integer number (401231953440).

Almost surely, 222102020003312 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 22102020003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32098556275200).

22102020003312 is an abundant number, since it is smaller than the sum of its proper divisors (42095092547088).

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

22102020003312 is a wasteful number, since it uses less digits than its factorization.

22102020003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388180 (or 388168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22102020003312 its reverse (21330002020122), we get a palindrome (43432022023434).

The spelling of 22102020003312 in words is "twenty-two trillion, one hundred two billion, twenty million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 432 534 712 801 1068 1424 1487 1602 2136 2403 2974 3204 4272 4461 4806 5948 6408 8922 9612 11896 12816 13383 17844 19224 23792 26766 35688 38448 40149 53532 71376 80298 107064 132343 160596 214128 264686 321192 386587 397029 529372 642384 773174 794058 1058744 1159761 1191087 1546348 1588116 2117488 2319522 2382174 3092696 3176232 3479283 3573261 4639044 4764348 6185392 6352464 6958566 7146522 9278088 9528696 10437849 13917132 14293044 18556176 19057392 20875698 27834264 28586088 34406243 41751396 55668528 57172176 68812486 83502792 103218729 137624972 167005584 206437458 275249944 309656187 412874916 550499888 574854869 619312374 825749832 928968561 1149709738 1238624748 1651499664 1724564607 1857937122 2299419476 2477249496 3449129214 3715874244 4598838952 4954498992 5173693821 6898258428 7431748488 9197677904 10347387642 13796516856 14863496976 15521081463 20694775284 27593033712 31042162926 41389550568 51162083341 62084325852 82779101136 102324166682 124168651704 153486250023 204648333364 248337303408 306972500046 409296666728 460458750069 613945000092 818593333456 920917500138 1227890000184 1381376250207 1841835000276 2455780000368 2762752500414 3683670000552 5525505000828 7367340001104 11051010001656 22102020003312