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31013101020321 = 337619265089631
BaseRepresentation
bin1110000110100110011001…
…10111101010010010100001
311001210211020022222222021000
413003103030313222102201
513031104312330122241
6145543115534022213
76350423361104610
oct703231467522241
9131724208888230
1031013101020321
11997764501a472
12358a668947969
13143c6a49b9804
14793083737877
1538bac6798eb6
hex1c34ccdea4a1

31013101020321 has 32 divisors (see below), whose sum is σ = 52593782988800. Its totient is φ = 17693142264720.

The previous prime is 31013101020311. The next prime is 31013101020359. The reversal of 31013101020321 is 12302010131013.

31013101020321 is a `hidden beast` number, since 3 + 1 + 0 + 1 + 310 + 10 + 20 + 321 = 666.

It is not a de Polignac number, because 31013101020321 - 217 = 31013100889249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31013101020294 and 31013101020303.

It is not an unprimeable number, because it can be changed into a prime (31013101020311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132427825 + ... + 132661806.

It is an arithmetic number, because the mean of its divisors is an integer number (1643555718400).

Almost surely, 231013101020321 is an apocalyptic number.

It is an amenable number.

31013101020321 is a deficient number, since it is larger than the sum of its proper divisors (21580681968479).

31013101020321 is a wasteful number, since it uses less digits than its factorization.

31013101020321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265090266 (or 265090260 counting only the distinct ones).

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

Adding to 31013101020321 its reverse (12302010131013), we get a palindrome (43315111151334).

The spelling of 31013101020321 in words is "thirty-one trillion, thirteen billion, one hundred one million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 619 1857 4333 5571 12999 16713 38997 116991 265089631 795268893 1855627417 2385806679 5566882251 7157420037 16700646753 50101940259 164090481589 492271444767 1148633371123 1476814334301 3445900113369 4430443002903 10337700340107 31013101020321