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131513820 = 223519115363
BaseRepresentation
bin1111101011010…
…11110111011100
3100011110121001020
413311223313130
5232131420240
621014444140
73154564134
oct765536734
9304417036
10131513820
1168266309
1238063650
1321328839
1413675ac4
15b82c0d0
hex7d6bddc

131513820 has 48 divisors (see below), whose sum is σ = 387623040. Its totient is φ = 33224256.

The previous prime is 131513803. The next prime is 131513843. The reversal of 131513820 is 28315131.

It is a congruent number.

It is an unprimeable number.

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, 56542 + ... + 58821.

It is an arithmetic number, because the mean of its divisors is an integer number (8075480).

Almost surely, 2131513820 is an apocalyptic number.

131513820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131513820 is an abundant number, since it is smaller than the sum of its proper divisors (256109220).

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

131513820 is a wasteful number, since it uses less digits than its factorization.

131513820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115394 (or 115392 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 131513820 is about 11467.9475059838. The cubic root of 131513820 is about 508.5384529782.

Adding to 131513820 its reverse (28315131), we get a palindrome (159828951).

The spelling of 131513820 in words is "one hundred thirty-one million, five hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 115363 230726 346089 461452 576815 692178 1153630 1384356 1730445 2191897 2307260 3460890 4383794 6575691 6921780 8767588 10959485 13151382 21918970 26302764 32878455 43837940 65756910 131513820