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10100330010 = 2325112225889
BaseRepresentation
bin10010110100000011…
…01100111000011010
3222001220112221000200
421122001230320122
5131141141030020
64350125043030
7505203250161
oct113201547032
928056487020
1010100330010
114313411481
121b5a6b6476
13c4c718244
146bb5dc3d8
153e1aca590
hex25a06ce1a

10100330010 has 24 divisors (see below), whose sum is σ = 26260858260. Its totient is φ = 2693421312.

The previous prime is 10100329997. The next prime is 10100330017. The reversal of 10100330010 is 1003300101.

It can be written as a sum of positive squares in 2 ways, for example, as 8920613601 + 1179716409 = 94449^2 + 34347^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100329974 and 10100330001.

It is not an unprimeable number, because it can be changed into a prime (10100330017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56112855 + ... + 56113034.

Almost surely, 210100330010 is an apocalyptic number.

10100330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100330010 is an abundant number, since it is smaller than the sum of its proper divisors (16160528250).

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

10100330010 is a wasteful number, since it uses less digits than its factorization.

10100330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112225902 (or 112225899 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10100330010 its reverse (1003300101), we get a palindrome (11103630111).

The spelling of 10100330010 in words is "ten billion, one hundred million, three hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 112225889 224451778 336677667 561129445 673355334 1010033001 1122258890 1683388335 2020066002 3366776670 5050165005 10100330010