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131323414020 = 22353759154691
BaseRepresentation
bin111101001001101111…
…1000100011000000100
3110112222011011122100220
41322103133010120010
54122422243222040
6140155032304340
712326213413161
oct1722337043004
9415864148326
10131323414020
115076a709727
122154bb420b0
13c4cb119b56
1464db163068
15363912b2d0
hex1e937c4604

131323414020 has 48 divisors (see below), whose sum is σ = 377643553728. Its totient is φ = 34073101440.

The previous prime is 131323414007. The next prime is 131323414039. The reversal of 131323414020 is 20414323131.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 29575126 + ... + 29579565.

It is an arithmetic number, because the mean of its divisors is an integer number (7867574036).

Almost surely, 2131323414020 is an apocalyptic number.

131323414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131323414020 is an abundant number, since it is smaller than the sum of its proper divisors (246320139708).

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

131323414020 is a wasteful number, since it uses less digits than its factorization.

131323414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59154740 (or 59154738 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131323414020 its reverse (20414323131), we get a palindrome (151737737151).

The spelling of 131323414020 in words is "one hundred thirty-one billion, three hundred twenty-three million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 59154691 118309382 177464073 236618764 295773455 354928146 591546910 709856292 887320365 1183093820 1774640730 2188723567 3549281460 4377447134 6566170701 8754894268 10943617835 13132341402 21887235670 26264682804 32830853505 43774471340 65661707010 131323414020