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31022122320 = 24325719323957
BaseRepresentation
bin11100111001000100…
…000000010101010000
32222001222121002121100
4130321010000111100
51002013130403240
622130143424400
72145520455210
oct347104002520
988058532540
1031022122320
111217a1a7722
1260192b5100
132c050796c7
1417040b4240
15c18729e30
hex739100550

31022122320 has 240 divisors, whose sum is σ = 125332871040. Its totient is φ = 6717551616.

The previous prime is 31022122283. The next prime is 31022122333. The reversal of 31022122320 is 2322122013.

31022122320 is a `hidden beast` number, since 310 + 22 + 12 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 31022122293 and 31022122302.

It is a congruent number.

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, 66219 + ... + 257738.

It is an arithmetic number, because the mean of its divisors is an integer number (522220296).

Almost surely, 231022122320 is an apocalyptic number.

31022122320 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 31022122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62666435520).

31022122320 is an abundant number, since it is smaller than the sum of its proper divisors (94310748720).

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

31022122320 is a wasteful number, since it uses less digits than its factorization.

31022122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324002 (or 323993 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31022122320 its reverse (2322122013), we get a palindrome (33344244333).

The spelling of 31022122320 in words is "thirty-one billion, twenty-two million, one hundred twenty-two thousand, three hundred twenty".