Search a number
-
+
221022120001112 = 231747229333914447
BaseRepresentation
bin110010010000010010111000…
…111100110011111001011000
31001222120111201120012110202122
4302100102320330303321120
5212432211300210013422
62102024054334320412
764361215114111553
oct6220227074637130
91058514646173678
10221022120001112
1164473a55784531
1220957698959108
1396433b14b79b1
143c81755d8569a
151a8445c5c0d42
hexc904b8f33e58

221022120001112 has 128 divisors (see below), whose sum is σ = 448558444707840. Its totient is φ = 101700145797120.

The previous prime is 221022120001103. The next prime is 221022120001127. The reversal of 221022120001112 is 211100021220122.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49701396473 + ... + 49701400919.

It is an arithmetic number, because the mean of its divisors is an integer number (3504362849280).

Almost surely, 2221022120001112 is an apocalyptic number.

It is an amenable number.

221022120001112 is an abundant number, since it is smaller than the sum of its proper divisors (227536324706728).

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

221022120001112 is a wasteful number, since it uses less digits than its factorization.

221022120001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221022120001112 its reverse (211100021220122), we get a palindrome (432122141221234).

The spelling of 221022120001112 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twenty million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 17 34 47 68 94 136 188 376 799 1598 2293 3196 3391 4447 4586 6392 6782 8894 9172 13564 17788 18344 27128 35576 38981 57647 75599 77962 107771 115294 151198 155924 159377 209009 215542 230588 302396 311848 318754 418018 431084 461176 604792 637508 836036 862168 1275016 1672072 1832107 2709409 3553153 3664214 5418818 7106306 7328428 7775563 10196971 10837636 14212612 14656856 15079777 15551126 20393942 21675272 28425224 30159554 31102252 40787884 60319108 62204504 81575768 120638216 132184571 173348507 256356209 264369142 346697014 365451461 479257637 512712418 528738284 693394028 708749519 730902922 958515274 1025424836 1057476568 1386788056 1417499038 1461805844 1917030548 2050849672 2834998076 2923611688 3834061096 5669996152 6212674837 8147379829 12048741823 12425349674 16294759658 24097483646 24850699348 32589519316 34577928661 48194967292 49701398696 65179038632 69155857322 96389934584 138311714644 276623429288 587824787237 1175649574474 1625162647067 2351299148948 3250325294134 4702598297896 6500650588268 13001301176536 27627765000139 55255530000278 110511060000556 221022120001112