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131124314433 = 3731964110463
BaseRepresentation
bin111101000011110011…
…1100100000101000001
3110112110021112100002010
41322013213210011001
54122020311030213
6140123201043133
712321245166000
oct1720747440501
9415407470063
10131124314433
1150678291212
12214b53264a9
13c498ab9648
1464bc936c37
1536268edac3
hex1e879e4141

131124314433 has 64 divisors (see below), whose sum is σ = 214972416000. Its totient is φ = 70867077120.

The previous prime is 131124314401. The next prime is 131124314443. The reversal of 131124314433 is 334413421131.

It is not a de Polignac number, because 131124314433 - 25 = 131124314401 is a prime.

It is a super-2 number, since 2×1311243144332 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131124314433.

It is not an unprimeable number, because it can be changed into a prime (131124314443) 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 63 ways as a sum of consecutive naturals, for example, 12526960 + ... + 12537422.

It is an arithmetic number, because the mean of its divisors is an integer number (3358944000).

Almost surely, 2131124314433 is an apocalyptic number.

It is an amenable number.

131124314433 is a deficient number, since it is larger than the sum of its proper divisors (83848101567).

131124314433 is a wasteful number, since it uses less digits than its factorization.

131124314433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147 (or 11133 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 131124314433 its reverse (334413421131), we get a palindrome (465537735564).

The spelling of 131124314433 in words is "one hundred thirty-one billion, one hundred twenty-four million, three hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 3 7 19 21 49 57 133 147 343 399 641 931 1029 1923 2793 4487 6517 10463 12179 13461 19551 31389 31409 36537 73241 85253 94227 198797 219723 219863 255759 512687 596391 596771 659589 1391579 1538061 1790313 3588809 4174737 4177397 6706783 9741053 10766427 12532191 20120349 29223159 46947481 68187371 127428877 140842443 204562113 328632367 382286631 892002139 985897101 2300426569 2676006417 6244014973 6901279707 18732044919 43708104811 131124314433