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134130031431 = 31123839210631
BaseRepresentation
bin111110011101011000…
…1011101101101000111
3110211012202022120122220
41330322301131231013
54144144242001211
6141341332023423
712455603312214
oct1747261355507
9424182276586
10134130031431
115197a9a6950
1221bb3a61b73
13c857723106
1466c5bcab0b
153750721806
hex1f3ac5db47

134130031431 has 32 divisors (see below), whose sum is σ = 203824373760. Its totient is φ = 77663493600.

The previous prime is 134130031429. The next prime is 134130031457.

134130031431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134130031431 - 21 = 134130031429 is a prime.

It is a super-2 number, since 2×1341300314312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134130031481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531486 + ... + 742116.

It is an arithmetic number, because the mean of its divisors is an integer number (6369511680).

Almost surely, 2134130031431 is an apocalyptic number.

134130031431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134130031431 is a deficient number, since it is larger than the sum of its proper divisors (69694342329).

134130031431 is a wasteful number, since it uses less digits than its factorization.

134130031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211507.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1341300 and 31431, that added together give a palindrome (1372731).

The spelling of 134130031431 in words is "one hundred thirty-four billion, one hundred thirty million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 11 23 33 69 253 759 839 2517 9229 19297 27687 57891 210631 212267 631893 636801 2316941 4844513 6950823 14533539 53289643 159868929 176719409 530158227 1943913499 4064546407 5831740497 12193639221 44710010477 134130031431