Search a number
-
+
31012201014 = 2319268320963
BaseRepresentation
bin11100111000011110…
…001010001000110110
32222001021221001010120
4130320132022020312
51002003110413024
622125151032410
72145340234134
oct347036121066
988037831116
1031012201014
11121746406a3
126015b0b706
132c02cb4902
141702a50754
15c1791a479
hex73878a236

31012201014 has 48 divisors (see below), whose sum is σ = 65559627072. Its totient is φ = 9778521456.

The previous prime is 31012201013. The next prime is 31012201039. The reversal of 31012201014 is 41010221013.

It is a super-2 number, since 2×310122010142 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31012200984 and 31012201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012201013) 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 23 ways as a sum of consecutive naturals, for example, 1468897 + ... + 1489859.

It is an arithmetic number, because the mean of its divisors is an integer number (1365825564).

Almost surely, 231012201014 is an apocalyptic number.

31012201014 is an abundant number, since it is smaller than the sum of its proper divisors (34547426058).

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

31012201014 is a wasteful number, since it uses less digits than its factorization.

31012201014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21689 (or 21670 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31012201014 its reverse (41010221013), we get a palindrome (72022422027).

The spelling of 31012201014 in words is "thirty-one billion, twelve million, two hundred one thousand, fourteen".

Divisors: 1 2 3 6 19 38 57 114 361 683 722 1083 1366 2049 2166 4098 12977 20963 25954 38931 41926 62889 77862 125778 246563 398297 493126 739689 796594 1194891 1479378 2389782 7567643 14317729 15135286 22702929 28635458 42953187 45405858 85906374 272036851 544073702 816110553 1632221106 5168700169 10337400338 15506100507 31012201014