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131313103120 = 24544313812683
BaseRepresentation
bin111101001001011011…
…1101111000100010000
3110112221102202210110201
41322102313233010100
54122412123244440
6140154023304544
712326026650223
oct1722267570420
9415842683421
10131313103120
1150764906a21
12215485ab154
13c4c8c49924
1464d9a3b5ba
15363829119a
hex1e92def110

131313103120 has 80 divisors (see below), whose sum is σ = 306327840192. Its totient is φ = 52349207040.

The previous prime is 131313103099. The next prime is 131313103121. The reversal of 131313103120 is 21301313131.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (131313103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48941299 + ... + 48943981.

Almost surely, 2131313103120 is an apocalyptic number.

131313103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131313103120 is an abundant number, since it is smaller than the sum of its proper divisors (175014737072).

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

131313103120 is a wasteful number, since it uses less digits than its factorization.

131313103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131313103120 its reverse (21301313131), we get a palindrome (152614416251).

The spelling of 131313103120 in words is "one hundred thirty-one billion, three hundred thirteen million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 443 886 1381 1772 2215 2683 2762 3544 4430 5366 5524 6905 7088 8860 10732 11048 13415 13810 17720 21464 22096 26830 27620 35440 42928 53660 55240 107320 110480 214640 611783 1188569 1223566 2377138 2447132 3058915 3705223 4754276 4894264 5942845 6117830 7410446 9508552 9788528 11885690 12235660 14820892 18526115 19017104 23771380 24471320 29641784 37052230 47542760 48942640 59283568 74104460 95085520 148208920 296417840 1641413789 3282827578 6565655156 8207068945 13131310312 16414137890 26262620624 32828275780 65656551560 131313103120