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31224112020 = 223253143179727
BaseRepresentation
bin11101000101000110…
…100010001110010100
32222121001200020101100
4131011012202032110
51002421333041040
622202201030100
72153522400363
oct350506421624
988531606340
1031224112020
1112273219562
126074a85330
132c37b7c53a
141722c537da
15c2b328b30
hex7451a2394

31224112020 has 288 divisors, whose sum is σ = 100739358720. Its totient is φ = 7815709440.

The previous prime is 31224111967. The next prime is 31224112027. The reversal of 31224112020 is 2021142213.

It is a happy number.

31224112020 is a `hidden beast` number, since 31 + 22 + 411 + 202 + 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 = 31224111984 and 31224112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31224112027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42948897 + ... + 42949623.

It is an arithmetic number, because the mean of its divisors is an integer number (349789440).

Almost surely, 231224112020 is an apocalyptic number.

31224112020 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 31224112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50369679360).

31224112020 is an abundant number, since it is smaller than the sum of its proper divisors (69515246700).

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

31224112020 is a wasteful number, since it uses less digits than its factorization.

31224112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31224112020 its reverse (2021142213), we get a palindrome (33245254233).

The spelling of 31224112020 in words is "thirty-one billion, two hundred twenty-four million, one hundred twelve thousand, twenty".