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31323310020 = 22325174018389
BaseRepresentation
bin11101001011000000…
…111100011111000100
32222211222100000110100
4131023000330133010
51003122231410040
622220103124100
72156135512362
oct351300743704
988758300410
1031323310020
1112314212482
1260a2143630
132c525a1c92
1417320b6632
15c34dc0b30
hex74b03c7c4

31323310020 has 36 divisors (see below), whose sum is σ = 95014040940. Its totient is φ = 8352882624.

The previous prime is 31323310009. The next prime is 31323310027. The reversal of 31323310020 is 2001332313.

31323310020 is a `hidden beast` number, since 31 + 323 + 310 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14545807236 + 16777502784 = 120606^2 + 129528^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×313233100202 (a number of 22 digits) contains 22 as substring.

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 = 31323309975 and 31323310002.

It is not an unprimeable number, because it can be changed into a prime (31323310027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87009015 + ... + 87009374.

It is an arithmetic number, because the mean of its divisors is an integer number (2639278915).

Almost surely, 231323310020 is an apocalyptic number.

31323310020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31323310020 is an abundant number, since it is smaller than the sum of its proper divisors (63690730920).

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

31323310020 is a wasteful number, since it uses less digits than its factorization.

31323310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174018404 (or 174018399 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31323310020 its reverse (2001332313), we get a palindrome (33324642333).

The spelling of 31323310020 in words is "thirty-one billion, three hundred twenty-three million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 174018389 348036778 522055167 696073556 870091945 1044110334 1566165501 1740183890 2088220668 2610275835 3132331002 3480367780 5220551670 6264662004 7830827505 10441103340 15661655010 31323310020