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311431220152 = 231331655314741
BaseRepresentation
bin1001000100000101011…
…11110100101110111000
31002202212011210011211021
410202002233310232320
520100302343021102
6355023003512224
731333361456653
oct4420257645670
91082764704737
10311431220152
11110093894188
1250435828674
13234a21a8cc0
14111053c289a
15817b02c137
hex4882bf4bb8

311431220152 has 64 divisors (see below), whose sum is σ = 649280136960. Its totient is φ = 139070131200.

The previous prime is 311431220141. The next prime is 311431220153. The reversal of 311431220152 is 251022134113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311431220153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21119502 + ... + 21134242.

It is an arithmetic number, because the mean of its divisors is an integer number (10145002140).

Almost surely, 2311431220152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311431220152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324640068480).

311431220152 is an abundant number, since it is smaller than the sum of its proper divisors (337848916808).

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

311431220152 is a wasteful number, since it uses less digits than its factorization.

311431220152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21344 (or 21340 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 311431220152 its reverse (251022134113), we get a palindrome (562453354265).

The spelling of 311431220152 in words is "three hundred eleven billion, four hundred thirty-one million, two hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 3224 6553 13106 14741 26212 29482 52424 58964 85189 117928 170378 191633 203143 340756 383266 406286 456971 681512 766532 812572 913942 1533064 1625144 1827884 2640859 3655768 5281718 5940623 10563436 11881246 21126872 23762492 47524984 96597773 193195546 386391092 772782184 1255771049 2511542098 2994530963 5023084196 5989061926 10046168392 11978123852 23956247704 38928902519 77857805038 155715610076 311431220152