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10020323300 = 22521317534397
BaseRepresentation
bin10010101010100000…
…11111111111100100
3221212100000011110012
421111100133333210
5131010200321200
64334150145352
7503212225361
oct112520377744
927770004405
1010020323300
114282236229
121b37952258
13c38c84ab0
146b0b33468
153d9a74a35
hex25541ffe4

10020323300 has 72 divisors (see below), whose sum is σ = 23435411496. Its totient is φ = 3696860160.

The previous prime is 10020323297. The next prime is 10020323317. The reversal of 10020323300 is 332302001.

It can be written as a sum of positive squares in 12 ways, for example, as 7524521536 + 2495801764 = 86744^2 + 49958^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2276702 + ... + 2281098.

Almost surely, 210020323300 is an apocalyptic number.

10020323300 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 10020323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11717705748).

10020323300 is an abundant number, since it is smaller than the sum of its proper divisors (13415088196).

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

10020323300 is a wasteful number, since it uses less digits than its factorization.

10020323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 10020323300 its reverse (332302001), we get a palindrome (10352625301).

The spelling of 10020323300 in words is "ten billion, twenty million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1753 3506 4397 7012 8765 8794 17530 17588 21985 22789 35060 43825 43970 45578 57161 87650 87940 91156 109925 113945 114322 175300 219850 227890 228644 285805 439700 455780 569725 571610 1139450 1143220 1429025 2278900 2858050 5716100 7707941 15415882 30831764 38539705 77079410 100203233 154158820 192698525 200406466 385397050 400812932 501016165 770794100 1002032330 2004064660 2505080825 5010161650 10020323300