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10101133220 = 22510111534337
BaseRepresentation
bin10010110100001001…
…10000111110100100
3222001222001201211012
421122010300332210
5131141342230340
64350154201352
7505213133663
oct113204607644
928058051735
1010101133220
11431390a992
121b5aa23258
13c4c939a09
146bb76adda
153e1bd8565
hex25a130fa4

10101133220 has 48 divisors (see below), whose sum is σ = 21445926768. Its totient is φ = 3996057600.

The previous prime is 10101133213. The next prime is 10101133243. The reversal of 10101133220 is 2233110101.

It can be written as a sum of positive squares in 8 ways, for example, as 14546596 + 10086586624 = 3814^2 + 100432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10101133195 and 10101133204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2326892 + ... + 2331228.

It is an arithmetic number, because the mean of its divisors is an integer number (446790141).

Almost surely, 210101133220 is an apocalyptic number.

10101133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101133220 is an abundant number, since it is smaller than the sum of its proper divisors (11344793548).

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

10101133220 is a wasteful number, since it uses less digits than its factorization.

10101133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10101133220 its reverse (2233110101), we get a palindrome (12334243321).

The spelling of 10101133220 in words is "ten billion, one hundred one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 1153 2020 2306 4337 4612 5765 8674 11530 17348 21685 23060 43370 86740 116453 232906 438037 465812 582265 876074 1164530 1752148 2190185 2329060 4380370 5000561 8760740 10001122 20002244 25002805 50005610 100011220 505056661 1010113322 2020226644 2525283305 5050566610 10101133220