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10201003300 = 2252102010033
BaseRepresentation
bin10011000000000011…
…01111010100100100
3222022220222122211001
421200001233110210
5131342424101200
64404122523044
7510535045255
oct114001572444
928286878731
1010201003300
114365222844
121b88366484
13c67536337
146cab26b2c
153ea86476a
hex26006f524

10201003300 has 18 divisors (see below), whose sum is σ = 22136177378. Its totient is φ = 4080401280.

The previous prime is 10201003297. The next prime is 10201003303. The reversal of 10201003300 is 330010201.

It is an interprime number because it is at equal distance from previous prime (10201003297) and next prime (10201003303).

It can be written as a sum of positive squares in 3 ways, for example, as 9696996 + 10191306304 = 3114^2 + 100952^2 .

It is a super-2 number, since 2×102010033002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10201003303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51004917 + ... + 51005116.

Almost surely, 210201003300 is an apocalyptic number.

10201003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201003300 is an abundant number, since it is smaller than the sum of its proper divisors (11935174078).

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

10201003300 is a wasteful number, since it uses less digits than its factorization.

10201003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102010047 (or 102010040 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10201003300 its reverse (330010201), we get a palindrome (10531013501).

The spelling of 10201003300 in words is "ten billion, two hundred one million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102010033 204020066 408040132 510050165 1020100330 2040200660 2550250825 5100501650 10201003300