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130333231300 = 225241313101561
BaseRepresentation
bin111100101100001110…
…1110100100011000100
3110110102010222011000211
41321120131310203010
54113410301400200
6135512501245204
712262531121116
oct1713035644304
9413363864024
10130333231300
11503017907a8
1221314403804
13c3a0c3930c
14644584d3b6
1535cc238aba
hex1e587748c4

130333231300 has 72 divisors (see below), whose sum is σ = 290649725352. Its totient is φ = 50698752000.

The previous prime is 130333231261. The next prime is 130333231351. The reversal of 130333231300 is 3132333031.

It can be written as a sum of positive squares in 12 ways, for example, as 129151109376 + 1182121924 = 359376^2 + 34382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232520 + ... + 1334080.

It is an arithmetic number, because the mean of its divisors is an integer number (4036801741).

Almost surely, 2130333231300 is an apocalyptic number.

130333231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130333231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145324862676).

130333231300 is an abundant number, since it is smaller than the sum of its proper divisors (160316494052).

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

130333231300 is a wasteful number, since it uses less digits than its factorization.

130333231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101929 (or 101922 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 130333231300 its reverse (3132333031), we get a palindrome (133465564331).

The spelling of 130333231300 in words is "one hundred thirty billion, three hundred thirty-three million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 313 410 626 820 1025 1252 1565 2050 3130 4100 6260 7825 12833 15650 25666 31300 51332 64165 101561 128330 203122 256660 320825 406244 507805 641650 1015610 1283300 2031220 2539025 4164001 5078050 8328002 10156100 16656004 20820005 31788593 41640010 63577186 83280020 104100025 127154372 158942965 208200050 317885930 416400100 635771860 794714825 1303332313 1589429650 2606664626 3178859300 5213329252 6516661565 13033323130 26066646260 32583307825 65166615650 130333231300