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102220111011220 = 225291230911431799
BaseRepresentation
bin10111001111011111111001…
…011001111101110110010100
3111101221010222021212021202121
4113033133321121331312110
5101344233241404324340
61001223134250345324
730350105433314146
oct2717377131756624
9441833867767677
10102220111011220
112a63033a87a594
12b56ab3842b244
1345064133a1807
141b356a06c4c96
15bc3ea65b994a
hex5cf7f967dd94

102220111011220 has 48 divisors (see below), whose sum is σ = 222066338256000. Its totient is φ = 39477763543680.

The previous prime is 102220111011209. The next prime is 102220111011229. The reversal of 102220111011220 is 22110111022201.

It is a super-2 number, since 2×1022201110112202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102220111011194 and 102220111011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220111011229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 70676881 + ... + 72108679.

It is an arithmetic number, because the mean of its divisors is an integer number (4626382047000).

Almost surely, 2102220111011220 is an apocalyptic number.

102220111011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220111011220 is an abundant number, since it is smaller than the sum of its proper divisors (119846227244780).

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

102220111011220 is a wasteful number, since it uses less digits than its factorization.

102220111011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554928 (or 1554926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102220111011220 its reverse (22110111022201), we get a palindrome (124330222033421).

The spelling of 102220111011220 in words is "one hundred two trillion, two hundred twenty billion, one hundred eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 123091 246182 492364 615455 1230910 1431799 2461820 2863598 3569639 5727196 7139278 7158995 14278556 14317990 17848195 28635980 35696390 41522171 71392780 83044342 166088684 207610855 415221710 830443420 176241570709 352483141418 704966282836 881207853545 1762415707090 3524831414180 5111005550561 10222011101122 20444022202244 25555027752805 51110055505610 102220111011220