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10013011220 = 2251753555661
BaseRepresentation
bin10010101001101001…
…00110110100010100
3221211211020200011102
421110310212310110
5131001312324340
64333325325232
7503063122352
oct112464466424
927754220142
1010013011220
1142790a1593
121b35406818
13c375c4814
146adb8c7d2
153d90cd215
hex254d26d14

10013011220 has 48 divisors (see below), whose sum is σ = 22684345488. Its totient is φ = 3698472960.

The previous prime is 10013011219. The next prime is 10013011223. The reversal of 10013011220 is 2211031001.

It can be written as a sum of positive squares in 8 ways, for example, as 315488644 + 9697522576 = 17762^2 + 98476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013011223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259811 + ... + 295850.

It is an arithmetic number, because the mean of its divisors is an integer number (472590531).

Almost surely, 210013011220 is an apocalyptic number.

10013011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013011220 is an abundant number, since it is smaller than the sum of its proper divisors (12671334268).

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

10013011220 is a wasteful number, since it uses less digits than its factorization.

10013011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555740 (or 555738 counting only the distinct ones).

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

Adding to 10013011220 its reverse (2211031001), we get a palindrome (12224042221).

The spelling of 10013011220 in words is "ten billion, thirteen million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 555661 1111322 2222644 2778305 5556610 9446237 11113220 18892474 29450033 37784948 47231185 58900066 94462370 117800132 147250165 188924740 294500330 500650561 589000660 1001301122 2002602244 2503252805 5006505610 10013011220