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131135234130 = 232513710635461
BaseRepresentation
bin111101000100001000…
…1001110000001010010
3110112111001002010002100
41322020101032001102
54122031104443010
6140124231101230
712321440045565
oct1721021160122
9415431063070
10131135234130
115068346a35a
12214b8b11816
13c49b1409c4
1464c017a4dc
1536278592c0
hex1e8844e052

131135234130 has 48 divisors (see below), whose sum is σ = 343440338904. Its totient is φ = 34714141440.

The previous prime is 131135234107. The next prime is 131135234143. The reversal of 131135234130 is 31432531131.

131135234130 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 523 + 4 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 122114603601 + 9020630529 = 349449^2 + 94977^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131135234094 and 131135234103.

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, 5305401 + ... + 5330060.

Almost surely, 2131135234130 is an apocalyptic number.

131135234130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131135234130 is an abundant number, since it is smaller than the sum of its proper divisors (212305104774).

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

131135234130 is a wasteful number, since it uses less digits than its factorization.

131135234130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635611 (or 10635608 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 131135234130 its reverse (31432531131), we get a palindrome (162567765261).

The spelling of 131135234130 in words is "one hundred thirty-one billion, one hundred thirty-five million, two hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 10635461 21270922 31906383 53177305 63812766 95719149 106354610 159531915 191438298 319063830 478595745 957191490 1457058157 2914116314 4371174471 7285290785 8742348942 13113523413 14570581570 21855872355 26227046826 43711744710 65567617065 131135234130