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102211122020220 = 22335377737501089
BaseRepresentation
bin10111001111010111100001…
…100111101011111101111100
3111101220021202211111020021000
4113033113201213223331330
5101344111334214121340
61001215050301210300
730346336613204253
oct2717274147537574
9441807684436230
10102211122020220
112a627547818604
12b569249b60990
13450560cca7425
141b3508a93779a
15bc3b2c364d30
hex5cf5e19ebf7c

102211122020220 has 96 divisors (see below), whose sum is σ = 317991633825600. Its totient is φ = 27256172654592.

The previous prime is 102211122020209. The next prime is 102211122020251. The reversal of 102211122020220 is 22020221112201.

It is a happy number.

102211122020220 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 1 + 220 + 2 + 0 + 220 = 666.

It is a super-2 number, since 2×1022111220202202 (a number of 29 digits) contains 22 as substring.

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 = 102211122020193 and 102211122020202.

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 31 ways as a sum of consecutive naturals, for example, 203727436 + ... + 204228524.

It is an arithmetic number, because the mean of its divisors is an integer number (3312412852350).

Almost surely, 2102211122020220 is an apocalyptic number.

102211122020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211122020220 is an abundant number, since it is smaller than the sum of its proper divisors (215780511805380).

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

102211122020220 is a wasteful number, since it uses less digits than its factorization.

102211122020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878844 (or 878836 counting only the distinct ones).

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

Adding to 102211122020220 its reverse (22020221112201), we get a palindrome (124231343132421).

The spelling of 102211122020220 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty-two million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 377737 501089 755474 1002178 1133211 1503267 1510948 1888685 2004356 2266422 2505445 3006534 3399633 3777370 4509801 4532844 5010890 5666055 6013068 6799266 7516335 7554740 9019602 10021780 10198899 11332110 13529403 13598532 15032670 16998165 18039204 20397798 22549005 22664220 27058806 30065340 33996330 40795596 45098010 50994495 54117612 67647015 67992660 90196020 101988990 135294030 203977980 270588060 189279855593 378559711186 567839566779 757119422372 946399277965 1135679133558 1703518700337 1892798555930 2271358267116 2839197833895 3407037400674 3785597111860 5110556101011 5678395667790 6814074801348 8517593501685 10221112202022 11356791335580 17035187003370 20442224404044 25552780505055 34070374006740 51105561010110 102211122020220