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102022221010212 = 223367711299123493
BaseRepresentation
bin10111001100100111100110…
…001111100001010100100100
3111101020020011222220122202000
4113030213212033201110210
5101333013002034311322
61000552210013045300
730326601513130536
oct2714474617412444
9441206158818660
10102022221010212
112a564421056908
12b53870b486830
1344c0867261769
141b29c8a933856
15bbdc734d53ac
hex5cc9e63e1524

102022221010212 has 96 divisors (see below), whose sum is σ = 264918340848000. Its totient is φ = 33953894222976.

The previous prime is 102022221010183. The next prime is 102022221010277. The reversal of 102022221010212 is 212010122220201.

It is a happy number.

102022221010212 is a `hidden beast` number, since 1 + 0 + 20 + 222 + 210 + 1 + 0 + 212 = 666.

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

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, 826075938 + ... + 826199430.

It is an arithmetic number, because the mean of its divisors is an integer number (2759566050500).

Almost surely, 2102022221010212 is an apocalyptic number.

102022221010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022221010212 is an abundant number, since it is smaller than the sum of its proper divisors (162896119837788).

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

102022221010212 is a wasteful number, since it uses less digits than its factorization.

102022221010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135482 (or 135474 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102022221010212 its reverse (212010122220201), we get a palindrome (314032343230413).

The spelling of 102022221010212 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 677 1354 2031 2708 4062 6093 8124 11299 12186 18279 22598 24372 33897 36558 45196 67794 73116 101691 123493 135588 203382 246986 305073 370479 406764 493972 610146 740958 1111437 1220292 1481916 2222874 3334311 4445748 6668622 7649423 13337244 15298846 22948269 30597692 45896538 68844807 83604761 91793076 137689614 167209522 206534421 250814283 275379228 334419044 413068842 501628566 752442849 826137684 1003257132 1395347407 1504885698 2257328547 2790694814 3009771396 4186042221 4514657094 5581389628 8372084442 9029314188 12558126663 16744168884 25116253326 37674379989 50232506652 75348759978 150697519956 944650194539 1889300389078 2833950583617 3778600778156 5667901167234 8501851750851 11335802334468 17003703501702 25505555252553 34007407003404 51011110505106 102022221010212