Search a number
-
+
31214230124022 = 233111731103995971
BaseRepresentation
bin1110001100011101000010…
…00110010011010111110110
311002112001101100220001212000
413012032201012103113312
513042403220402432042
6150215341440440130
76401103502221261
oct706164106232766
9132461340801760
1031214230124022
119a44976173a20
12360163a619046
131455648c0968a
1479cac3771cd8
15391e48e0274c
hex1c63a11935f6

31214230124022 has 256 divisors, whose sum is σ = 82787136307200. Its totient is φ = 8606896704000.

The previous prime is 31214230123891. The next prime is 31214230124023. The reversal of 31214230124022 is 22042103241213.

31214230124022 is a `hidden beast` number, since 3 + 1 + 2 + 14 + 230 + 12 + 402 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214230124023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325198497 + ... + 325294467.

It is an arithmetic number, because the mean of its divisors is an integer number (323387251200).

Almost surely, 231214230124022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31214230124022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41393568153600).

31214230124022 is an abundant number, since it is smaller than the sum of its proper divisors (51572906183178).

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

31214230124022 is a wasteful number, since it uses less digits than its factorization.

31214230124022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97080 (or 97074 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31214230124022 its reverse (22042103241213), we get a palindrome (53256333365235).

The spelling of 31214230124022 in words is "thirty-one trillion, two hundred fourteen billion, two hundred thirty million, one hundred twenty-four thousand, twenty-two".