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102202200020 = 225137349106877
BaseRepresentation
bin101111100101110111…
…0011100111111010100
3100202210122110200202102
41133023232130333110
53133302230400040
6114541231501232
710245444236504
oct1371356347724
9322718420672
10102202200020
113a386528618
1217983387818
139839b3158b
144d37711a04
1529d273d515
hex17cbb9cfd4

102202200020 has 48 divisors (see below), whose sum is σ = 216812710800. Its totient is φ = 40465818624.

The previous prime is 102202200019. The next prime is 102202200043. The reversal of 102202200020 is 20002202201.

It can be written as a sum of positive squares in 8 ways, for example, as 4249475344 + 97952724676 = 65188^2 + 312974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102202199974 and 102202200010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 902822 + ... + 1009698.

It is an arithmetic number, because the mean of its divisors is an integer number (4516931475).

Almost surely, 2102202200020 is an apocalyptic number.

102202200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202200020 is an abundant number, since it is smaller than the sum of its proper divisors (114610510780).

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

102202200020 is a wasteful number, since it uses less digits than its factorization.

102202200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107372 (or 107370 counting only the distinct ones).

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

Adding to 102202200020 its reverse (20002202201), we get a palindrome (122204402221).

The spelling of 102202200020 in words is "one hundred two billion, two hundred two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 137 274 349 548 685 698 1370 1396 1745 2740 3490 6980 47813 95626 106877 191252 213754 239065 427508 478130 534385 956260 1068770 2137540 14642149 29284298 37300073 58568596 73210745 74600146 146421490 149200292 186500365 292842980 373000730 746001460 5110110001 10220220002 20440440004 25550550005 51101100010 102202200020