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102000222020 = 22517300000653
BaseRepresentation
bin101111011111110101…
…1111101111101000100
3100202021120102011000202
41132333223331331010
53132344024101040
6114505214430032
710240442403404
oct1367753757504
9322246364022
10102000222020
113a292514554
1217927802318
139807033b78
144d18976804
1529beb43015
hex17bfafdf44

102000222020 has 24 divisors (see below), whose sum is σ = 226800494424. Its totient is φ = 38400083456.

The previous prime is 102000222017. The next prime is 102000222053. The reversal of 102000222020 is 20222000201.

It can be written as a sum of positive squares in 4 ways, for example, as 51681656896 + 50318565124 = 227336^2 + 224318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102000221992 and 102000222010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149999987 + ... + 150000666.

It is an arithmetic number, because the mean of its divisors is an integer number (9450020601).

Almost surely, 2102000222020 is an apocalyptic number.

102000222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000222020 is an abundant number, since it is smaller than the sum of its proper divisors (124800272404).

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

102000222020 is a wasteful number, since it uses less digits than its factorization.

102000222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300000679 (or 300000677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 102000222020 its reverse (20222000201), we get a palindrome (122222222221).

The spelling of 102000222020 in words is "one hundred two billion, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 300000653 600001306 1200002612 1500003265 3000006530 5100011101 6000013060 10200022202 20400044404 25500055505 51000111010 102000222020