Search a number
-
+
31331330300022 = 23137338571125793
BaseRepresentation
bin1110001111110111001001…
…10100000001100001110110
311002221020122021112100122120
413013323210310001201312
513101313031024100042
6150345225303540410
76412420400255304
oct707734464014166
9132836567470576
1031331330300022
119a8a5a716a385
12362027b15a706
1314636bb3b514c
147a463190b274
15394eee500dec
hex1c7ee4d01876

31331330300022 has 32 divisors (see below), whose sum is σ = 63121972665312. Its totient is φ = 10367229394944.

The previous prime is 31331330299991. The next prime is 31331330300057. The reversal of 31331330300022 is 22000303313313.

It is a super-4 number, since 4×313313303000224 (a number of 55 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31331330299965 and 31331330300001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27267558 + ... + 28393350.

It is an arithmetic number, because the mean of its divisors is an integer number (1972561645791).

Almost surely, 231331330300022 is an apocalyptic number.

31331330300022 is an abundant number, since it is smaller than the sum of its proper divisors (31790642365290).

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

31331330300022 is a wasteful number, since it uses less digits than its factorization.

31331330300022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159792.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 31331330300022 its reverse (22000303313313), we get a palindrome (53331633613335).

The spelling of 31331330300022 in words is "thirty-one trillion, three hundred thirty-one billion, three hundred thirty million, three hundred thousand, twenty-two".

Divisors: 1 2 3 6 137 274 411 822 33857 67714 101571 203142 1125793 2251586 3377379 4638409 6754758 9276818 13915227 27830454 154233641 308467282 462700923 925401846 38115973601 76231947202 114347920803 228695841606 5221888383337 10443776766674 15665665150011 31331330300022