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10203232100 = 22526110116561
BaseRepresentation
bin10011000000010100…
…01111011101100100
3222100002011220011012
421200022033131210
5131344011411400
64404242401352
7510563020235
oct114012173544
928302156135
1010203232100
114366505326
121b89060258
13c67b36959
146cb14708c
153eab54d35
hex26028f764

10203232100 has 72 divisors (see below), whose sum is σ = 22728165096. Its totient is φ = 3974400000.

The previous prime is 10203232097. The next prime is 10203232153. The reversal of 10203232100 is 123230201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5573518336 + 4629713764 = 74656^2 + 68042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607820 + ... + 624380.

Almost surely, 210203232100 is an apocalyptic number.

10203232100 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 10203232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11364082548).

10203232100 is an abundant number, since it is smaller than the sum of its proper divisors (12524932996).

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

10203232100 is a wasteful number, since it uses less digits than its factorization.

10203232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16737 (or 16730 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10203232100 its reverse (123230201), we get a palindrome (10326462301).

The spelling of 10203232100 in words is "ten billion, two hundred three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 101 122 202 244 305 404 505 610 1010 1220 1525 2020 2525 3050 5050 6100 6161 10100 12322 16561 24644 30805 33122 61610 66244 82805 123220 154025 165610 308050 331220 414025 616100 828050 1010221 1656100 1672661 2020442 3345322 4040884 5051105 6690644 8363305 10102210 16726610 20204420 25255525 33453220 41816525 50511050 83633050 101022100 102032321 167266100 204064642 408129284 510161605 1020323210 2040646420 2550808025 5101616050 10203232100