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10122001300 = 2252101220013
BaseRepresentation
bin10010110110101000…
…10111101110010100
3222010102022221110001
421123110113232110
5131212213020200
64352221341044
7505555406605
oct113324275624
928112287401
1010122001300
114324673434
121b65a07784
13c540652a8
146c043ddac
153e395b76a
hex25b517b94

10122001300 has 18 divisors (see below), whose sum is σ = 21964743038. Its totient is φ = 4048800480.

The previous prime is 10122001243. The next prime is 10122001303. The reversal of 10122001300 is 310022101.

It can be written as a sum of positive squares in 3 ways, for example, as 147185424 + 9974815876 = 12132^2 + 99874^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122001303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50609907 + ... + 50610106.

Almost surely, 210122001300 is an apocalyptic number.

10122001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122001300 is an abundant number, since it is smaller than the sum of its proper divisors (11842741738).

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

10122001300 is a wasteful number, since it uses less digits than its factorization.

10122001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101220027 (or 101220020 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10122001300 its reverse (310022101), we get a palindrome (10432023401).

The spelling of 10122001300 in words is "ten billion, one hundred twenty-two million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101220013 202440026 404880052 506100065 1012200130 2024400260 2530500325 5061000650 10122001300