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31331004320 = 2557112733167
BaseRepresentation
bin11101001011011110…
…010010111110100000
32222212111210221001102
4131023132102332200
51003131214114240
622220540053532
72156261066630
oct351336227640
988774727042
1031331004320
1112318598300
1260a48342a8
132c54067215
14173311a6c0
15c358e0815
hex74b792fa0

31331004320 has 288 divisors, whose sum is σ = 94286674944. Its totient is φ = 9628692480.

The previous prime is 31331004293. The next prime is 31331004343. The reversal of 31331004320 is 2340013313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31331004292 and 31331004301.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9891377 + ... + 9894543.

It is an arithmetic number, because the mean of its divisors is an integer number (327384288).

Almost surely, 231331004320 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 31331004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47143337472).

31331004320 is an abundant number, since it is smaller than the sum of its proper divisors (62955670624).

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

31331004320 is a wasteful number, since it uses less digits than its factorization.

31331004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31331004320 its reverse (2340013313), we get a palindrome (33671017633).

The spelling of 31331004320 in words is "thirty-one billion, three hundred thirty-one million, four thousand, three hundred twenty".