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102010002020 = 22510150500001
BaseRepresentation
bin101111100000001000…
…1010001101001100100
3100202022020211000122222
41133000101101221210
53132404030031040
6114510204211512
710240621465463
oct1370021215144
9322266730588
10102010002020
113a297a943a3
121792ab39b98
139809079554
144d19da09da
1529c0925bb5
hex17c0451a64

102010002020 has 24 divisors (see below), whose sum is σ = 216342008568. Its totient is φ = 40400000000.

The previous prime is 102010002011. The next prime is 102010002049. The reversal of 102010002020 is 20200010201.

It can be written as a sum of positive squares in 4 ways, for example, as 15561065536 + 86448936484 = 124744^2 + 294022^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102010001989 and 102010002007.

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, 25247981 + ... + 25252020.

It is an arithmetic number, because the mean of its divisors is an integer number (9014250357).

Almost surely, 2102010002020 is an apocalyptic number.

102010002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010002020 is an abundant number, since it is smaller than the sum of its proper divisors (114332006548).

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

102010002020 is a wasteful number, since it uses less digits than its factorization.

102010002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50500111 (or 50500109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102010002020 its reverse (20200010201), we get a palindrome (122210012221).

The spelling of 102010002020 in words is "one hundred two billion, ten million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 50500001 101000002 202000004 252500005 505000010 1010000020 5100500101 10201000202 20402000404 25502500505 51005001010 102010002020