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102202110020 = 22523772149813
BaseRepresentation
bin101111100101110111…
…0000111000001000100
3100202210122022010022002
41133023232013001010
53133302220010040
6114541225524432
710245443413223
oct1371356070104
9322718263262
10102202110020
113a386476a3a
1217983343718
139839acc61a
144d376cacba
1529d2721a15
hex17cbb87044

102202110020 has 24 divisors (see below), whose sum is σ = 214714823064. Its totient is φ = 40863626496.

The previous prime is 102202110019. The next prime is 102202110041. The reversal of 102202110020 is 20011202201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59228416 + 102142881604 = 7696^2 + 319598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102202109983 and 102202110010.

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, 1027367 + ... + 1122446.

It is an arithmetic number, because the mean of its divisors is an integer number (8946450961).

Almost surely, 2102202110020 is an apocalyptic number.

102202110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202110020 is an abundant number, since it is smaller than the sum of its proper divisors (112512713044).

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

102202110020 is a wasteful number, since it uses less digits than its factorization.

102202110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152199 (or 2152197 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102202110020 its reverse (20011202201), we get a palindrome (122213312221).

The spelling of 102202110020 in words is "one hundred two billion, two hundred two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 2377 4754 9508 11885 23770 47540 2149813 4299626 8599252 10749065 21498130 42996260 5110105501 10220211002 20440422004 25550527505 51101055010 102202110020