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102000122020 = 22522922270769
BaseRepresentation
bin101111011111110101…
…1100101100010100100
3100202021120020001212001
41132333223211202210
53132344012401040
6114505212335044
710240441506016
oct1367753454244
9322246201761
10102000122020
113a292456405
1217927774484
139806cca4b4
144d1894c1b6
1529beb2359a
hex17bfae58a4

102000122020 has 24 divisors (see below), whose sum is σ = 215135638200. Its totient is φ = 40621880832.

The previous prime is 102000121879. The next prime is 102000122057. The reversal of 102000122020 is 20221000201.

It can be written as a sum of positive squares in 4 ways, for example, as 46198343844 + 55801778176 = 214938^2 + 236224^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102000121988 and 102000122006.

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, 11130805 + ... + 11139964.

It is an arithmetic number, because the mean of its divisors is an integer number (8963984925).

Almost surely, 2102000122020 is an apocalyptic number.

102000122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000122020 is an abundant number, since it is smaller than the sum of its proper divisors (113135516180).

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

102000122020 is a wasteful number, since it uses less digits than its factorization.

102000122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22271007 (or 22271005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102000122020 its reverse (20221000201), we get a palindrome (122221122221).

The spelling of 102000122020 in words is "one hundred two billion, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 22270769 44541538 89083076 111353845 222707690 445415380 5100006101 10200012202 20400024404 25500030505 51000061010 102000122020