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31123020022020 = 223358910922932591
BaseRepresentation
bin1110001001110011001001…
…00011011000000100000100
311002012022221202222210212000
413010321210203120010010
513034404421111201040
6150105415031425300
76361364310153453
oct704714443300404
9132168852883760
1031123020022020
119a0a220477333
1235a7a24525230
131449b71496b14
1479850dc74b9a
1538e8ab6e2130
hex1c4e648d8104

31123020022020 has 384 divisors, whose sum is σ = 98894670336000. Its totient is φ = 8124250337280.

The previous prime is 31123020022007. The next prime is 31123020022037. The reversal of 31123020022020 is 2022002032113.

31123020022020 is a `hidden beast` number, since 3 + 11 + 230 + 200 + 220 + 2 + 0 = 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 = 31123020021984 and 31123020022002.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 12011970925 + ... + 12011973515.

It is an arithmetic number, because the mean of its divisors is an integer number (257538204000).

Almost surely, 231123020022020 is an apocalyptic number.

31123020022020 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 31123020022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49447335168000).

31123020022020 is an abundant number, since it is smaller than the sum of its proper divisors (67771650313980).

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

31123020022020 is a wasteful number, since it uses less digits than its factorization.

31123020022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5092 counting only the distinct ones).

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

Adding to 31123020022020 its reverse (2022002032113), we get a palindrome (33145022054133).

The spelling of 31123020022020 in words is "thirty-one trillion, one hundred twenty-three billion, twenty million, twenty-two thousand, twenty".