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102001002020 = 22546316976491
BaseRepresentation
bin101111011111110111…
…0111100011000100100
3100202021121212202222122
41132333232330120210
53132344224031040
6114505243245112
710240452132431
oct1367756743044
9322247782878
10102001002020
113a2929a7585
1217927b19798
139807247bc8
144d18adab88
1529bec491b5
hex17bfbbc624

102001002020 has 48 divisors (see below), whose sum is σ = 214824331008. Its totient is φ = 40682019840.

The previous prime is 102001001911. The next prime is 102001002023. The reversal of 102001002020 is 20200100201.

It is a junction number, because it is equal to n+sod(n) for n = 102001001989 and 102001002007.

It is not an unprimeable number, because it can be changed into a prime (102001002023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15710975 + ... + 15717465.

It is an arithmetic number, because the mean of its divisors is an integer number (4475506896).

Almost surely, 2102001002020 is an apocalyptic number.

102001002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001002020 is an abundant number, since it is smaller than the sum of its proper divisors (112823328988).

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

102001002020 is a wasteful number, since it uses less digits than its factorization.

102001002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8660 (or 8658 counting only the distinct ones).

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

Adding to 102001002020 its reverse (20200100201), we get a palindrome (122201102221).

The spelling of 102001002020 in words is "one hundred two billion, one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 463 926 1697 1852 2315 3394 4630 6491 6788 8485 9260 12982 16970 25964 32455 33940 64910 129820 785711 1571422 3005333 3142844 3928555 6010666 7857110 11015227 12021332 15026665 15714220 22030454 30053330 44060908 55076135 60106660 110152270 220304540 5100050101 10200100202 20400200404 25500250505 51000501010 102001002020