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102220221010012 = 22727942191564747
BaseRepresentation
bin10111001111011111111111…
…111101100101000001011100
3111101221011020221211210201221
4113033133333331211001130
5101344234003034310022
61001223153220143124
730350111240302300
oct2717377775450134
9441834227753657
10102220221010012
112a630396980286
12b56ab69237aa4
134506430106461
141b356b1159d00
15bc3eb1096cc7
hex5cf7fff6505c

102220221010012 has 72 divisors (see below), whose sum is σ = 210775310995200. Its totient is φ = 43243846210656.

The previous prime is 102220221010009. The next prime is 102220221010027. The reversal of 102220221010012 is 210010122022201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64544623 + ... + 66109369.

Almost surely, 2102220221010012 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 102220221010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105387655497600).

102220221010012 is an abundant number, since it is smaller than the sum of its proper divisors (108555089985188).

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

102220221010012 is a wasteful number, since it uses less digits than its factorization.

102220221010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569063 (or 1569054 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102220221010012 its reverse (210010122022201), we get a palindrome (312230343032213).

The spelling of 102220221010012 in words is "one hundred two trillion, two hundred twenty billion, two hundred twenty-one million, ten thousand, twelve".

Divisors: 1 2 4 7 14 28 49 79 98 158 196 316 553 1106 2212 3871 4219 7742 8438 15484 16876 29533 59066 118132 206731 333301 413462 666602 826924 1333204 1564747 2333107 3129494 4666214 6258988 9332428 10953229 16331749 21906458 32663498 43812916 65326996 76672603 123615013 153345206 247230026 306690412 494460052 865305091 1730610182 3461220364 6057135637 6601667593 12114271274 13203335186 24228542548 26406670372 46211673151 92423346302 184846692604 323481712057 521531739847 646963424114 1043063479694 1293926848228 2086126959388 3650722178929 7301444357858 14602888715716 25555055252503 51110110505006 102220221010012