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131255949384 = 233272311322977
BaseRepresentation
bin111101000111101110…
…1101101100001001000
3110112210110020002021200
41322033131231201020
54122303010340014
6140144222304200
712324434106240
oct1721735554110
9415713202250
10131255949384
115073561a52a
1221531428060
13c4ba158351
1464d2200b20
153633251a09
hex1e8f76d848

131255949384 has 96 divisors (see below), whose sum is σ = 423932296320. Its totient is φ = 35871187968.

The previous prime is 131255949343. The next prime is 131255949389. The reversal of 131255949384 is 483949552131.

131255949384 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 559 + 4 + 9 + 3 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131255949384.

It is not an unprimeable number, because it can be changed into a prime (131255949389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5649897 + ... + 5673080.

It is an arithmetic number, because the mean of its divisors is an integer number (4415961420).

Almost surely, 2131255949384 is an apocalyptic number.

131255949384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131255949384 is an abundant number, since it is smaller than the sum of its proper divisors (292676346936).

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

131255949384 is a wasteful number, since it uses less digits than its factorization.

131255949384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11323019 (or 11323012 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 131255949384 in words is "one hundred thirty-one billion, two hundred fifty-five million, nine hundred forty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 11322977 22645954 33968931 45291908 67937862 79260839 90583816 101906793 135875724 158521678 203813586 237782517 260428471 271751448 317043356 407627172 475565034 520856942 634086712 713347551 781285413 815254344 951130068 1041713884 1426695102 1562570826 1822999297 1902260136 2083427768 2343856239 2853390204 3125141652 3645998594 4687712478 5468997891 5706780408 6250283304 7291997188 9375424956 10937995782 14583994376 16406993673 18750849912 21875991564 32813987346 43751983128 65627974692 131255949384