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10122211300 = 2252101222113
BaseRepresentation
bin10010110110101010…
…01010111111100100
3222010102201121111211
421123111022333210
5131212241230200
64352230041204
7505560243055
oct113325127744
928112647454
1010122211300
1143247a7193
121b65aa9204
13c54109a56
146c049672c
153e399daba
hex25b54afe4

10122211300 has 18 divisors (see below), whose sum is σ = 21965198738. Its totient is φ = 4048884480.

The previous prime is 10122211271. The next prime is 10122211313. The reversal of 10122211300 is 311222101.

It can be written as a sum of positive squares in 3 ways, for example, as 848906496 + 9273304804 = 29136^2 + 96298^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50610957 + ... + 50611156.

Almost surely, 210122211300 is an apocalyptic number.

10122211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122211300 is an abundant number, since it is smaller than the sum of its proper divisors (11842987438).

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

10122211300 is a wasteful number, since it uses less digits than its factorization.

10122211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101222127 (or 101222120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10122211300 its reverse (311222101), we get a palindrome (10433433401).

The spelling of 10122211300 in words is "ten billion, one hundred twenty-two million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101222113 202444226 404888452 506110565 1012221130 2024442260 2530552825 5061105650 10122211300