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31023000020 = 22537106939217
BaseRepresentation
bin11100111001000111…
…010110100111010100
32222002001020200120202
4130321013112213110
51002013342000040
622130214320032
72145531102125
oct347107264724
988061220522
1031023000020
111217a7470a1
126019659018
132c052c605c
14170426204c
15c18850015
hex7391d69d4

31023000020 has 48 divisors (see below), whose sum is σ = 66973362960. Its totient is φ = 12062214144.

The previous prime is 31022999993. The next prime is 31023000023. The reversal of 31023000020 is 2000032013.

It can be written as a sum of positive squares in 8 ways, for example, as 118766404 + 30904233616 = 10898^2 + 175796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31022999965 and 31023000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31023000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771452 + ... + 810668.

It is an arithmetic number, because the mean of its divisors is an integer number (1395278395).

Almost surely, 231023000020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31023000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33486681480).

31023000020 is an abundant number, since it is smaller than the sum of its proper divisors (35950362940).

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

31023000020 is a wasteful number, since it uses less digits than its factorization.

31023000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40332 (or 40330 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 31023000020 its reverse (2000032013), we get a palindrome (33023032033).

The spelling of 31023000020 in words is "thirty-one billion, twenty-three million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1069 2138 4276 5345 10690 21380 39217 39553 78434 79106 156868 158212 196085 197765 392170 395530 784340 791060 1451029 2902058 5804116 7255145 14510290 29020580 41922973 83845946 167691892 209614865 419229730 838459460 1551150001 3102300002 6204600004 7755750005 15511500010 31023000020