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131413034120 = 23519467370261
BaseRepresentation
bin111101001100011010…
…0111100010010001000
3110120012101210211000212
41322120310330102020
54123113214042440
6140211553220252
712331352234234
oct1723064742210
9416171724025
10131413034120
1150806260625
1221575b61688
13c513867bb4
1465090115c4
153641e30465
hex1e98d3c488

131413034120 has 64 divisors (see below), whose sum is σ = 311908708800. Its totient is φ = 49691854080.

The previous prime is 131413034119. The next prime is 131413034147. The reversal of 131413034120 is 21430314131.

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, 169790 + ... + 540050.

It is an arithmetic number, because the mean of its divisors is an integer number (4873573575).

Almost surely, 2131413034120 is an apocalyptic number.

131413034120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131413034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155954354400).

131413034120 is an abundant number, since it is smaller than the sum of its proper divisors (180495674680).

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

131413034120 is a wasteful number, since it uses less digits than its factorization.

131413034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370758 (or 370754 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 131413034120 its reverse (21430314131), we get a palindrome (152843348251).

The spelling of 131413034120 in words is "one hundred thirty-one billion, four hundred thirteen million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 467 760 934 1868 2335 3736 4670 8873 9340 17746 18680 35492 44365 70984 88730 177460 354920 370261 740522 1481044 1851305 2962088 3702610 7034959 7405220 14069918 14810440 28139836 35174795 56279672 70349590 140699180 172911887 281398360 345823774 691647548 864559435 1383295096 1729118870 3285325853 3458237740 6570651706 6916475480 13141303412 16426629265 26282606824 32853258530 65706517060 131413034120