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10100202320 = 245139711733
BaseRepresentation
bin10010110100000010…
…01101101101010000
3222001220022102212102
421122001031231100
5131141122433240
64350122215532
7505202205665
oct113201155520
928056272772
1010100202320
11431333454a
121b5a6545a8
13c4c6a20a0
146bb5a7a6c
153e1aa2815
hex25a04db50

10100202320 has 40 divisors (see below), whose sum is σ = 25289355336. Its totient is φ = 3729305088.

The previous prime is 10100202319. The next prime is 10100202347. The reversal of 10100202320 is 2320200101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 317409856 + 9782792464 = 17816^2 + 98908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4854827 + ... + 4856906.

Almost surely, 210100202320 is an apocalyptic number.

10100202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100202320 is an abundant number, since it is smaller than the sum of its proper divisors (15189153016).

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

10100202320 is a wasteful number, since it uses less digits than its factorization.

10100202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9711759 (or 9711753 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10100202320 its reverse (2320200101), we get a palindrome (12420402421).

The spelling of 10100202320 in words is "ten billion, one hundred million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 9711733 19423466 38846932 48558665 77693864 97117330 126252529 155387728 194234660 252505058 388469320 505010116 631262645 776938640 1010020232 1262525290 2020040464 2525050580 5050101160 10100202320