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31113301320 = 23325618111747
BaseRepresentation
bin11100111110011111…
…110100110101001000
32222022100011110200100
4130332133310311020
51002210001120240
622143202005400
72151005461203
oct347637646510
988270143610
1031113301320
1112216713872
126043946860
132c1ac2218a
14171224a93a
15c2173ae30
hex73e7f4d48

31113301320 has 192 divisors, whose sum is σ = 102961535040. Its totient is φ = 8146137600.

The previous prime is 31113301301. The next prime is 31113301333. The reversal of 31113301320 is 2310331113.

It is a happy number.

31113301320 is a `hidden beast` number, since 3 + 1 + 11 + 330 + 1 + 320 = 666.

It is a super-2 number, since 2×311133013202 (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 junction number, because it is equal to n+sod(n) for n = 31113301293 and 31113301302.

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, 17808687 + ... + 17810433.

It is an arithmetic number, because the mean of its divisors is an integer number (536257995).

Almost surely, 231113301320 is an apocalyptic number.

31113301320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31113301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480767520).

31113301320 is an abundant number, since it is smaller than the sum of its proper divisors (71848233720).

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

31113301320 is a wasteful number, since it uses less digits than its factorization.

31113301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2629 counting only the distinct ones).

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

Adding to 31113301320 its reverse (2310331113), we get a palindrome (33423632433).

The spelling of 31113301320 in words is "thirty-one billion, one hundred thirteen million, three hundred one thousand, three hundred twenty".