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231120110032020 = 2233511618320393769
BaseRepresentation
bin110100100011001111011000…
…000011110001010010010100
31010022022212101211222001121000
4310203033120003301102110
5220243132441132011040
62135315040210023300
766452606532132366
oct6443173003612224
91108285354861530
10231120110032020
1167707540908070
1221b08761277b30
139bc66c08c7b11
1441103b7202d36
151babe7006c130
hexd233d80f1494

231120110032020 has 768 divisors, whose sum is σ = 807482317824000. Its totient is φ = 54405482803200.

The previous prime is 231120110032013. The next prime is 231120110032027. The reversal of 231120110032020 is 20230011021132.

231120110032020 is a `hidden beast` number, since 2 + 311 + 2 + 0 + 1 + 10 + 0 + 320 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (231120110032013) and next prime (231120110032027).

It is a super-2 number, since 2×2311201100320202 (a number of 30 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 = 231120110031984 and 231120110032002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231120110032027) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61321332696 + ... + 61321336464.

It is an arithmetic number, because the mean of its divisors is an integer number (1051409268000).

Almost surely, 2231120110032020 is an apocalyptic number.

231120110032020 is a gapful number since it is divisible by the number (20) 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 231120110032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403741158912000).

231120110032020 is an abundant number, since it is smaller than the sum of its proper divisors (576362207791980).

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

231120110032020 is a wasteful number, since it uses less digits than its factorization.

231120110032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 231120110032020 its reverse (20230011021132), we get a palindrome (251350121053152).

The spelling of 231120110032020 in words is "two hundred thirty-one trillion, one hundred twenty billion, one hundred ten million, thirty-two thousand, twenty".