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31074293106 = 23223594912591
BaseRepresentation
bin11100111100001011…
…000001010101110010
32222012121202122110200
4130330023001111302
51002120004334411
622135245540030
72150023063503
oct347413012562
988177678420
1031074293106
11121a66a037a
126032874616
132c12b14bac
14170adb4baa
15c1d0d2e56
hex73c2c1572

31074293106 has 96 divisors (see below), whose sum is σ = 71618826240. Its totient is φ = 9716229600.

The previous prime is 31074293077. The next prime is 31074293141. The reversal of 31074293106 is 60139247013.

31074293106 is a `hidden beast` number, since 310 + 7 + 4 + 29 + 310 + 6 = 666.

It is a super-2 number, since 2×310742931062 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11991871 + ... + 11994461.

It is an arithmetic number, because the mean of its divisors is an integer number (746029440).

Almost surely, 231074293106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31074293106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35809413120).

31074293106 is an abundant number, since it is smaller than the sum of its proper divisors (40544533134).

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

31074293106 is a wasteful number, since it uses less digits than its factorization.

31074293106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 31074293106 in words is "thirty-one billion, seventy-four million, two hundred ninety-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 46 59 69 118 138 177 207 354 414 491 531 982 1062 1357 1473 2591 2714 2946 4071 4419 5182 7773 8142 8838 11293 12213 15546 22586 23319 24426 28969 33879 46638 57938 59593 67758 86907 101637 119186 152869 173814 178779 203274 260721 305738 357558 458607 521442 536337 666287 917214 1072674 1272181 1332574 1375821 1998861 2544362 2751642 3515987 3816543 3997722 5996583 7031974 7633086 10547961 11449629 11993166 21095922 22899258 29260163 31643883 58520326 63287766 75058679 87780489 150117358 175560978 225176037 263341467 450352074 526682934 675528111 1351056222 1726349617 3452699234 5179048851 10358097702 15537146553 31074293106