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31122221220 = 223353112714639
BaseRepresentation
bin11100111111000001…
…110110100010100100
32222022221221122111000
4130333001312202210
51002214242034340
622144121113300
72151144341556
oct347701664244
988287848430
1031122221220
1112220756492
126046928830
132c1ca2621c
1417134cd4d6
15c223edd30
hex73f0768a4

31122221220 has 192 divisors, whose sum is σ = 100741939200. Its totient is φ = 7967756160.

The previous prime is 31122221201. The next prime is 31122221257. The reversal of 31122221220 is 2212222113.

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 = 31122221193 and 31122221202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2118661 + ... + 2133299.

It is an arithmetic number, because the mean of its divisors is an integer number (524697600).

Almost surely, 231122221220 is an apocalyptic number.

31122221220 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 31122221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50370969600).

31122221220 is an abundant number, since it is smaller than the sum of its proper divisors (69619717980).

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

31122221220 is a wasteful number, since it uses less digits than its factorization.

31122221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14815 (or 14807 counting only the distinct ones).

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

Adding to 31122221220 its reverse (2212222113), we get a palindrome (33334443333).

The spelling of 31122221220 in words is "thirty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".