Search a number
-
+
31302233221032 = 23322341988346649
BaseRepresentation
bin1110001111000000111100…
…11111011110011110101000
311002211110112110020121001100
413013200132133132132220
513100323433201033112
6150324014124321400
76410340343212234
oct707403637363650
9132743473217040
1031302233221032
119a79225673264
1236166ba6a3260
131460a320ca147
147a307137d5c4
15394399cce2dc
hex1c781e7de7a8

31302233221032 has 192 divisors, whose sum is σ = 90631575216000. Its totient is φ = 9735803320320.

The previous prime is 31302233221013. The next prime is 31302233221067. The reversal of 31302233221032 is 23012233220313.

31302233221032 is a `hidden beast` number, since 3 + 1 + 302 + 2 + 3 + 322 + 1 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31302233220987 and 31302233221005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670992844 + ... + 671039492.

It is an arithmetic number, because the mean of its divisors is an integer number (472039454250).

Almost surely, 231302233221032 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 31302233221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45315787608000).

31302233221032 is an abundant number, since it is smaller than the sum of its proper divisors (59329341994968).

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

31302233221032 is a wasteful number, since it uses less digits than its factorization.

31302233221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56608 (or 56601 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 31302233221032 its reverse (23012233220313), we get a palindrome (54314466441345).

The spelling of 31302233221032 in words is "thirty-one trillion, three hundred two billion, two hundred thirty-three million, two hundred twenty-one thousand, thirty-two".