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31122221130 = 2325721113172903
BaseRepresentation
bin11100111111000001…
…110110100001001010
32222022221221122100200
4130333001312201022
51002214242034010
622144121113030
72151144341400
oct347701664112
988287848320
1031122221130
1112220756410
126046928776
132c1ca26180
1417134cd470
15c223edcc0
hex73f07684a

31122221130 has 576 divisors, whose sum is σ = 117130261248. Its totient is φ = 5616414720.

The previous prime is 31122221071. The next prime is 31122221183. The reversal of 31122221130 is 3112222113.

31122221130 is a `hidden beast` number, since 311 + 2 + 2 + 221 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10719259 + ... + 10722161.

It is an arithmetic number, because the mean of its divisors is an integer number (203351148).

Almost surely, 231122221130 is an apocalyptic number.

31122221130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31122221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58565130624).

31122221130 is an abundant number, since it is smaller than the sum of its proper divisors (86008040118).

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

31122221130 is a wasteful number, since it uses less digits than its factorization.

31122221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2961 counting only the distinct ones).

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

Adding to 31122221130 its reverse (3112222113), we get a palindrome (34234443243).

It can be divided in two parts, 31122 and 221130, that added together give a palindrome (252252).

The spelling of 31122221130 in words is "thirty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty".