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10033212100 = 2252100332121
BaseRepresentation
bin10010101100000011…
…01010101011000100
3221220020020222120011
421112001222223010
5131022000241400
64335330320004
7503426616142
oct112601525304
927806228504
1010033212100
11428953982a
121b40129004
13c3b8484c2
146b272a592
153dac6d8ba
hex25606aac4

10033212100 has 18 divisors (see below), whose sum is σ = 21772070474. Its totient is φ = 4013284800.

The previous prime is 10033212097. The next prime is 10033212103. The reversal of 10033212100 is 121233001.

It is an interprime number because it is at equal distance from previous prime (10033212097) and next prime (10033212103).

It can be written as a sum of positive squares in 3 ways, for example, as 135349956 + 9897862144 = 11634^2 + 99488^2 .

It is not an unprimeable number, because it can be changed into a prime (10033212103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50165961 + ... + 50166160.

Almost surely, 210033212100 is an apocalyptic number.

10033212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033212100 is an abundant number, since it is smaller than the sum of its proper divisors (11738858374).

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

10033212100 is a wasteful number, since it uses less digits than its factorization.

10033212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100332135 (or 100332128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10033212100 its reverse (121233001), we get a palindrome (10154445101).

The spelling of 10033212100 in words is "ten billion, thirty-three million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 100332121 200664242 401328484 501660605 1003321210 2006642420 2508303025 5016606050 10033212100