Search a number
-
+
31130312310 = 23351941891663
BaseRepresentation
bin11100111111100000…
…101101111001110110
32222100112011201101000
4130333200231321312
51002223324443220
622145010344130
72151303201006
oct347740557166
988315151330
1031130312310
1112225282439
12604958b046
132c215c9c56
1417145d8006
15c22e9b390
hex73f82de76

31130312310 has 256 divisors, whose sum is σ = 90574848000. Its totient is φ = 7581911040.

The previous prime is 31130312303. The next prime is 31130312321. The reversal of 31130312310 is 1321303113.

It is a happy number.

31130312310 is a `hidden beast` number, since 3 + 11 + 30 + 312 + 310 = 666.

It is a super-2 number, since 2×311303123102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18718539 + ... + 18720201.

It is an arithmetic number, because the mean of its divisors is an integer number (353808000).

Almost surely, 231130312310 is an apocalyptic number.

31130312310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130312310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424000).

31130312310 is an abundant number, since it is smaller than the sum of its proper divisors (59444535690).

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

31130312310 is a wasteful number, since it uses less digits than its factorization.

31130312310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31130312310 its reverse (1321303113), we get a palindrome (32451615423).

The spelling of 31130312310 in words is "thirty-one billion, one hundred thirty million, three hundred twelve thousand, three hundred ten".