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125320034631 = 31117376738971
BaseRepresentation
bin111010010110110100…
…1111111100101000111
3102222110202202101001010
41310231221333211013
54023123412102011
6133323215133303
712024355501311
oct1645551774507
9388422671033
10125320034631
114916998a960
1220355514233
13ba82439b5c
1460cbb147b1
1533d70771a6
hex1d2da7f947

125320034631 has 64 divisors (see below), whose sum is σ = 198539306496. Its totient is φ = 69440716800.

The previous prime is 125320034627. The next prime is 125320034641. The reversal of 125320034631 is 136430023521.

It is not a de Polignac number, because 125320034631 - 22 = 125320034627 is a prime.

It is a super-2 number, since 2×1253200346312 (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 (125320034621) 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 63 ways as a sum of consecutive naturals, for example, 13964976 + ... + 13973946.

It is an arithmetic number, because the mean of its divisors is an integer number (3102176664).

Almost surely, 2125320034631 is an apocalyptic number.

125320034631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125320034631 is a deficient number, since it is larger than the sum of its proper divisors (73219271865).

125320034631 is a wasteful number, since it uses less digits than its factorization.

125320034631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9712.

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 125320034631 in words is "one hundred twenty-five billion, three hundred twenty million, thirty-four thousand, six hundred thirty-one".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 673 1221 1887 2019 6919 7403 8971 11441 20757 22209 24901 26913 34323 74703 98681 125851 152507 273911 296043 331927 377553 423317 457521 821733 995781 1269951 1677577 3651197 4656487 5032731 5642759 6037483 10953591 13969461 16928277 18112449 62070349 66412313 102637211 186211047 199236939 223386871 307911633 670160613 1129009321 2457255581 3387027963 3797576807 7371766743 11392730421 41773344877 125320034631