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130033031220 = 22325722405729
BaseRepresentation
bin111100100011010010…
…0101001100000110100
3110102122020002101221100
41321012210221200310
54112301423444340
6135423015050100
712252224346201
oct1710644514064
9412566071840
10130033031220
115016828aa64
122124b970930
13c35399b431
146417a26ca8
1535b0bda830
hex1e46929834

130033031220 has 36 divisors (see below), whose sum is σ = 394433528580. Its totient is φ = 34675474944.

The previous prime is 130033031203. The next prime is 130033031243. The reversal of 130033031220 is 22130330031.

130033031220 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 330 + 312 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88144859664 + 41888171556 = 296892^2 + 204666^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1300330312202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130033031193 and 130033031202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361202685 + ... + 361203044.

It is an arithmetic number, because the mean of its divisors is an integer number (10956486905).

Almost surely, 2130033031220 is an apocalyptic number.

130033031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130033031220 is an abundant number, since it is smaller than the sum of its proper divisors (264400497360).

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

130033031220 is a wasteful number, since it uses less digits than its factorization.

130033031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722405744 (or 722405739 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130033031220 its reverse (22130330031), we get a palindrome (152163361251).

The spelling of 130033031220 in words is "one hundred thirty billion, thirty-three million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 722405729 1444811458 2167217187 2889622916 3612028645 4334434374 6501651561 7224057290 8668868748 10836085935 13003303122 14448114580 21672171870 26006606244 32508257805 43344343740 65016515610 130033031220