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31329052020 = 223657417487
BaseRepresentation
bin11101001011010110…
…110110010101110100
32222212101010202000000
4131023112312111310
51003130214131040
622220430151300
72156235356040
oct351326662564
988771122000
1031329052020
1112317484532
1260a4052530
132c53832706
141732b6d020
15c35657130
hex74b5b6574

31329052020 has 336 divisors, whose sum is σ = 115498027008. Its totient is φ = 6985336320.

The previous prime is 31329052019. The next prime is 31329052049. The reversal of 31329052020 is 2025092313.

31329052020 is a `hidden beast` number, since 3 + 1 + 32 + 90 + 520 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4180717 + ... + 4188203.

It is an arithmetic number, because the mean of its divisors is an integer number (343744128).

Almost surely, 231329052020 is an apocalyptic number.

31329052020 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 31329052020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57749013504).

31329052020 is an abundant number, since it is smaller than the sum of its proper divisors (84168974988).

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

31329052020 is a wasteful number, since it uses less digits than its factorization.

31329052020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 31329052020 in words is "thirty-one billion, three hundred twenty-nine million, fifty-two thousand, twenty".