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131042430024 = 23311598413099
BaseRepresentation
bin111101000001010111…
…1001100110001001000
3110112020120110011210020
41322002233030301020
54121333330230044
6140111114020440
712316232163642
oct1720257146110
9415216404706
10131042430024
1150636043250
1221491a17720
13c484b4962c
1464b1add892
15361e626a19
hex1e82bccc48

131042430024 has 64 divisors (see below), whose sum is σ = 363445920000. Its totient is φ = 39036774720.

The previous prime is 131042429951. The next prime is 131042430031. The reversal of 131042430024 is 420034240131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131042429976 and 131042430003.

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, 4190974 + ... + 4222125.

It is an arithmetic number, because the mean of its divisors is an integer number (5678842500).

Almost surely, 2131042430024 is an apocalyptic number.

It is an amenable number.

131042430024 is an abundant number, since it is smaller than the sum of its proper divisors (232403489976).

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

131042430024 is a wasteful number, since it uses less digits than its factorization.

131042430024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413178 (or 8413174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 131042430024 its reverse (420034240131), we get a palindrome (551076670155).

The spelling of 131042430024 in words is "one hundred thirty-one billion, forty-two million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1416 1947 2596 3894 5192 7788 15576 8413099 16826198 25239297 33652396 50478594 67304792 92544089 100957188 185088178 201914376 277632267 370176356 496372841 555264534 740352712 992745682 1110529068 1489118523 1985491364 2221058136 2978237046 3970982728 5460101251 5956474092 10920202502 11912948184 16380303753 21840405004 32760607506 43680810008 65521215012 131042430024