Search a number
-
+
31213970928 = 24327319671033
BaseRepresentation
bin11101000100011111…
…110110010111110000
32222120100121000102100
4131010133312113300
51002411234032203
622201155420400
72153340242460
oct350437662760
988510530370
1031213970928
1112268522398
1260715b4700
132c35a3b6aa
141721773ba0
15c2a4c3ea3
hex7447f65f0

31213970928 has 240 divisors, whose sum is σ = 103262089216. Its totient is φ = 8613319680.

The previous prime is 31213970923. The next prime is 31213970947. The reversal of 31213970928 is 82907931213.

It is a super-3 number, since 3×312139709283 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213970923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30216300 + ... + 30217332.

Almost surely, 231213970928 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 31213970928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51631044608).

31213970928 is an abundant number, since it is smaller than the sum of its proper divisors (72048118288).

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

31213970928 is a wasteful number, since it uses less digits than its factorization.

31213970928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 31213970928 in words is "thirty-one billion, two hundred thirteen million, nine hundred seventy thousand, nine hundred twenty-eight".