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10021002020 = 22523163133649
BaseRepresentation
bin10010101010100110…
…00101101100100100
3221212101021122110222
421111103011230210
5131010334031040
64334212503512
7503221053221
oct112523055444
927771248428
1010021002020
11428265a157
121b3801ab98
13c391619c3
146b0c6c948
153d9b5abb5
hex2554c5b24

10021002020 has 48 divisors (see below), whose sum is σ = 22093948800. Its totient is φ = 3810571776.

The previous prime is 10021002011. The next prime is 10021002031. The reversal of 10021002020 is 2020012001.

It is a junction number, because it is equal to n+sod(n) for n = 10021001989 and 10021002007.

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, 8156 + ... + 141804.

It is an arithmetic number, because the mean of its divisors is an integer number (460290600).

Almost surely, 210021002020 is an apocalyptic number.

10021002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046974400).

10021002020 is an abundant number, since it is smaller than the sum of its proper divisors (12072946780).

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

10021002020 is a wasteful number, since it uses less digits than its factorization.

10021002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133844 (or 133842 counting only the distinct ones).

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

Adding to 10021002020 its reverse (2020012001), we get a palindrome (12041014021).

The spelling of 10021002020 in words is "ten billion, twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 163 230 326 460 652 815 1630 3260 3749 7498 14996 18745 37490 74980 133649 267298 534596 668245 1336490 2672980 3073927 6147854 12295708 15369635 21784787 30739270 43569574 61478540 87139148 108923935 217847870 435695740 501050101 1002100202 2004200404 2505250505 5010501010 10021002020