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10131122220 = 2235331510127
BaseRepresentation
bin10010110111101110…
…01010100000101100
3222011001111022222220
421123313022200230
5131222031402340
64353145035340
7506026055322
oct113367124054
928131438886
1010131122220
11432983308a
121b68a85b50
13c55c0999b
146c1735d12
153e465ded0
hex25bdca82c

10131122220 has 48 divisors (see below), whose sum is σ = 28452899328. Its totient is φ = 2693465280.

The previous prime is 10131122203. The next prime is 10131122249. The reversal of 10131122220 is 2222113101.

10131122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10131122220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235204 + ... + 274923.

It is an arithmetic number, because the mean of its divisors is an integer number (592768736).

Almost surely, 210131122220 is an apocalyptic number.

10131122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131122220 is an abundant number, since it is smaller than the sum of its proper divisors (18321777108).

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

10131122220 is a wasteful number, since it uses less digits than its factorization.

10131122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510470 (or 510468 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10131122220 its reverse (2222113101), we get a palindrome (12353235321).

The spelling of 10131122220 in words is "ten billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 331 662 993 1324 1655 1986 3310 3972 4965 6620 9930 19860 510127 1020254 1530381 2040508 2550635 3060762 5101270 6121524 7651905 10202540 15303810 30607620 168852037 337704074 506556111 675408148 844260185 1013112222 1688520370 2026224444 2532780555 3377040740 5065561110 10131122220