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31210130112 = 2637831272203
BaseRepresentation
bin11101000100010001…
…001100101011000000
32222120002100212210220
4131010101030223000
51002404243130422
622200541223040
72153262504660
oct350421145300
988502325726
1031210130112
1112266339767
126070261a80
132c34cc5415
1417210541a0
15c29eb5e5c
hex74444cac0

31210130112 has 224 divisors, whose sum is σ = 96306266112. Its totient is φ = 8736408576.

The previous prime is 31210130111. The next prime is 31210130137. The reversal of 31210130112 is 21103101213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 31210130091 and 31210130100.

It is not an unprimeable number, because it can be changed into a prime (31210130111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14166003 + ... + 14168205.

It is an arithmetic number, because the mean of its divisors is an integer number (429938688).

Almost surely, 231210130112 is an apocalyptic number.

31210130112 is a gapful number since it is divisible by the number (32) 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 31210130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48153133056).

31210130112 is an abundant number, since it is smaller than the sum of its proper divisors (65096136000).

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

31210130112 is a wasteful number, since it uses less digits than its factorization.

31210130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31210130112 its reverse (21103101213), we get a palindrome (52313231325).

The spelling of 31210130112 in words is "thirty-one billion, two hundred ten million, one hundred thirty thousand, one hundred twelve".