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100133002300 = 22521001330023
BaseRepresentation
bin101110101000001100…
…1000101110000111100
3100120110102220120002211
41131100121011300330
53120033022033200
6114000033430204
710143250322212
oct1352031056074
9316412816084
10100133002300
1139514518761
12174a640b364
13959a239926
144bbc9a2cb2
152910c5caba
hex1750645c3c

100133002300 has 18 divisors (see below), whose sum is σ = 217288615208. Its totient is φ = 40053200880.

The previous prime is 100133002279. The next prime is 100133002301. The reversal of 100133002300 is 3200331001.

It is a super-2 number, since 2×1001330023002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500664912 + ... + 500665111.

Almost surely, 2100133002300 is an apocalyptic number.

100133002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133002300 is an abundant number, since it is smaller than the sum of its proper divisors (117155612908).

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

100133002300 is a wasteful number, since it uses less digits than its factorization.

100133002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001330037 (or 1001330030 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100133002300 its reverse (3200331001), we get a palindrome (103333333301).

The spelling of 100133002300 in words is "one hundred billion, one hundred thirty-three million, two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1001330023 2002660046 4005320092 5006650115 10013300230 20026600460 25033250575 50066501150 100133002300