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130331020100 = 22526121365741
BaseRepresentation
bin111100101100001010…
…1011000101101000100
3110110101222210210211112
41321120111120231010
54113404220120400
6135512342024152
712262503251351
oct1713025305504
9413358723745
10130331020100
1150300510466
1221313718058
13c3a0643a08
146445435628
1535cbe4d835
hex1e58558b44

130331020100 has 36 divisors (see below), whose sum is σ = 287454692868. Its totient is φ = 51277776000.

The previous prime is 130331020063. The next prime is 130331020133. The reversal of 130331020100 is 1020133031.

It can be written as a sum of positive squares in 6 ways, for example, as 732460096 + 129598560004 = 27064^2 + 359998^2 .

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 11 ways as a sum of consecutive naturals, for example, 10676771 + ... + 10688970.

Almost surely, 2130331020100 is an apocalyptic number.

130331020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130331020100 is an abundant number, since it is smaller than the sum of its proper divisors (157123672768).

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

130331020100 is a wasteful number, since it uses less digits than its factorization.

130331020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21365816 (or 21365809 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 130331020100 its reverse (1020133031), we get a palindrome (131351153131).

The spelling of 130331020100 in words is "one hundred thirty billion, three hundred thirty-one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 21365741 42731482 85462964 106828705 213657410 427314820 534143525 1068287050 1303310201 2136574100 2606620402 5213240804 6516551005 13033102010 26066204020 32582755025 65165510050 130331020100