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131372561430 = 2325111011313857
BaseRepresentation
bin111101001011001101…
…0100011010000010110
3110120002120122120221100
41322112122203100112
54123022333431210
6140203545530530
712330351230115
oct1722632432026
9416076576840
10131372561430
1150795427920
12215644a3a46
13c508367166
1465038b7c7c
15363d5d85c0
hex1e966a3416

131372561430 has 96 divisors (see below), whose sum is σ = 376309952928. Its totient is φ = 31532544000.

The previous prime is 131372561429. The next prime is 131372561449. The reversal of 131372561430 is 34165273131.

131372561430 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 2 + 5 + 614 + 30 = 666.

131372561430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556939 + ... + 756918.

It is an arithmetic number, because the mean of its divisors is an integer number (3919895343).

Almost surely, 2131372561430 is an apocalyptic number.

131372561430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131372561430 is an abundant number, since it is smaller than the sum of its proper divisors (244937391498).

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

131372561430 is a wasteful number, since it uses less digits than its factorization.

131372561430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313982 (or 1313979 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 131372561430 in words is "one hundred thirty-one billion, three hundred seventy-two million, five hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 101 110 165 198 202 303 330 495 505 606 909 990 1010 1111 1515 1818 2222 3030 3333 4545 5555 6666 9090 9999 11110 16665 19998 33330 49995 99990 1313857 2627714 3941571 6569285 7883142 11824713 13138570 14452427 19707855 23649426 28904854 39415710 43357281 59123565 72262135 86714562 118247130 130071843 132699557 144524270 216786405 260143686 265399114 398098671 433572810 650359215 663497785 796197342 1194296013 1300718430 1326995570 1459695127 1990493355 2388592026 2919390254 3980986710 4379085381 5971480065 7298475635 8758170762 11942960130 13137256143 14596951270 21895426905 26274512286 43790853810 65686280715 131372561430