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22022122000122 = 23219314023151631
BaseRepresentation
bin1010000000111011011001…
…10000100100111011111010
32212222021221112202101210200
411000131230300210323322
510341302301213000442
6114500453450223030
74432021466310066
oct500355460447372
985867845671720
1022022122000122
117020590831a52
122578050124a76
13c398a5a444ba
14561c3ab68aa6
15282ca504034c
hex14076cc24efa

22022122000122 has 96 divisors (see below), whose sum is σ = 51848375255040. Its totient is φ = 6729722676000.

The previous prime is 22022122000097. The next prime is 22022122000147. The reversal of 22022122000122 is 22100022122022.

22022122000122 is a `hidden beast` number, since 220 + 221 + 2 + 200 + 0 + 1 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (22022122000097) and next prime (22022122000147).

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

It is a junction number, because it is equal to n+sod(n) for n = 22022122000095 and 22022122000104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426503247 + ... + 426554877.

It is an arithmetic number, because the mean of its divisors is an integer number (540087242240).

Almost surely, 222022122000122 is an apocalyptic number.

22022122000122 is an abundant number, since it is smaller than the sum of its proper divisors (29826253254918).

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

22022122000122 is a wasteful number, since it uses less digits than its factorization.

22022122000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91920 (or 91917 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22022122000122 its reverse (22100022122022), we get a palindrome (44122144122144).

The spelling of 22022122000122 in words is "twenty-two trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 10602 40231 51631 80462 103262 120693 154893 241386 309786 362079 464679 724158 764389 929358 980989 1247161 1528778 1600561 1961978 2293167 2494322 2942967 3201122 3741483 4586334 4801683 5885934 6879501 7482966 8828901 9603366 11224449 13759002 14405049 17657802 22448898 23696059 28810098 30410659 47392118 60821318 71088177 91231977 142176354 182463954 213264531 273695931 426529062 547391862 2077166761 4154333522 6231500283 12463000566 18694500849 37389001698 39466168459 64392169591 78932336918 118398505377 128784339182 193176508773 236797010754 355195516131 386353017546 579529526319 710391032262 1159059052638 1223451222229 2446902444458 3670353666687 7340707333374 11011061000061 22022122000122