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131224439082 = 231129312211623
BaseRepresentation
bin111101000110110010…
…1100000100100101010
3110112201020221012021110
41322031211200210222
54122221424022312
6140141135051150
712323602220412
oct1721545404452
9415636835243
10131224439082
1150719858360
1221522970ab6
13c4b3774ab9
1464cbd5b642
1536305ca43c
hex1e8d96092a

131224439082 has 64 divisors (see below), whose sum is σ = 305734901760. Its totient is φ = 37155249600.

The previous prime is 131224439009. The next prime is 131224439083. The reversal of 131224439082 is 280934422131.

It is a super-5 number, since 5×1312244390825 (a number of 57 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 131224439082.

It is not an unprimeable number, because it can be changed into a prime (131224439083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1046478 + ... + 1165145.

It is an arithmetic number, because the mean of its divisors is an integer number (4777107840).

Almost surely, 2131224439082 is an apocalyptic number.

131224439082 is an abundant number, since it is smaller than the sum of its proper divisors (174510462678).

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

131224439082 is a wasteful number, since it uses less digits than its factorization.

131224439082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211699.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 131224439082 in words is "one hundred thirty-one billion, two hundred twenty-four million, four hundred thirty-nine thousand, eighty-two".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 93 174 186 319 341 638 682 899 957 1023 1798 1914 2046 2697 5394 9889 19778 29667 59334 2211623 4423246 6634869 13269738 24327853 48655706 64137067 68560313 72983559 128274134 137120626 145967118 192411201 205680939 384822402 411361878 705507737 754163443 1411015474 1508326886 1988249077 2116523211 2262490329 3976498154 4233046422 4524980658 5964747231 11929494462 21870739847 43741479694 65612219541 131224439082