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31032101101320 = 2332511151434911933
BaseRepresentation
bin1110000111001001110010…
…10111001101111100001000
311001212122021111000002111200
413003210321113031330020
513031412220340220240
6145555541143424200
76351665252116014
oct703447127157410
9131778244002450
1031032101101320
119984705080550
12359228ba55060
1314414121850a7
14793d66cd3544
1538c33984c930
hex1c39395cdf08

31032101101320 has 384 divisors, whose sum is σ = 110786281632000. Its totient is φ = 7470768384000.

The previous prime is 31032101101303. The next prime is 31032101101349. The reversal of 31032101101320 is 2310110123013.

31032101101320 is a `hidden beast` number, since 3 + 10 + 321 + 0 + 1 + 10 + 1 + 320 = 666.

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 = 31032101101293 and 31032101101302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2600522074 + ... + 2600534006.

It is an arithmetic number, because the mean of its divisors is an integer number (288505941750).

Almost surely, 231032101101320 is an apocalyptic number.

31032101101320 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 31032101101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55393140816000).

31032101101320 is an abundant number, since it is smaller than the sum of its proper divisors (79754180530680).

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

31032101101320 is a wasteful number, since it uses less digits than its factorization.

31032101101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16461 (or 16454 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31032101101320 its reverse (2310110123013), we get a palindrome (33342211224333).

The spelling of 31032101101320 in words is "thirty-one trillion, thirty-two billion, one hundred one million, one hundred one thousand, three hundred twenty".