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10122011300 = 2252101220113
BaseRepresentation
bin10010110110101000…
…11010001010100100
3222010102100110011102
421123110122022210
5131212213330200
64352221455232
7505555451012
oct113324321244
928112313142
1010122011300
11432467a9a5
121b65a11518
13c540699cb
146c04438b2
153e395e6d5
hex25b51a2a4

10122011300 has 18 divisors (see below), whose sum is σ = 21964764738. Its totient is φ = 4048804480.

The previous prime is 10122011279. The next prime is 10122011323. The reversal of 10122011300 is 311022101.

It can be written as a sum of positive squares in 3 ways, for example, as 756030016 + 9365981284 = 27496^2 + 96778^2 .

It is a super-2 number, since 2×101220113002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50609957 + ... + 50610156.

Almost surely, 210122011300 is an apocalyptic number.

10122011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122011300 is an abundant number, since it is smaller than the sum of its proper divisors (11842753438).

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

10122011300 is a wasteful number, since it uses less digits than its factorization.

10122011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101220127 (or 101220120 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10122011300 its reverse (311022101), we get a palindrome (10433033401).

The spelling of 10122011300 in words is "ten billion, one hundred twenty-two million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101220113 202440226 404880452 506100565 1012201130 2024402260 2530502825 5061005650 10122011300