Search a number
-
+
31331001131031 = 373172747024693
BaseRepresentation
bin1110001111110110100010…
…01100010110000000010111
311002221012210100010211200110
413013323101030112000113
513101311342242143111
6150345132504414103
76412406262341040
oct707732114260027
9132835710124613
1031331001131031
119a8a448382898
1236201a8a77333
1314636681436b4
147a45ddd038c7
15394ed067e5a6
hex1c7ed1316017

31331001131031 has 16 divisors (see below), whose sum is σ = 47743983719424. Its totient is φ = 17902864540704.

The previous prime is 31331001130999. The next prime is 31331001131033. The reversal of 31331001131031 is 13013110013313.

It is not a de Polignac number, because 31331001131031 - 25 = 31331001130999 is a prime.

It is a super-2 number, since 2×313310011310312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 31331001130989 and 31331001131007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331001131033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22846080 + ... + 24178613.

It is an arithmetic number, because the mean of its divisors is an integer number (2983998982464).

Almost surely, 231331001131031 is an apocalyptic number.

31331001131031 is a deficient number, since it is larger than the sum of its proper divisors (16412982588393).

31331001131031 is a wasteful number, since it uses less digits than its factorization.

31331001131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47056430.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 31331001131031 its reverse (13013110013313), we get a palindrome (44344111144344).

The spelling of 31331001131031 in words is "thirty-one trillion, three hundred thirty-one billion, one million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 21 31727 95181 222089 666267 47024693 141074079 329172851 987518553 1491952434811 4475857304433 10443667043677 31331001131031