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31322424042 = 23271341716569
BaseRepresentation
bin11101001010111101…
…100100001011101010
32222211220200000010100
4131022331210023222
51003122020032132
622220032130230
72156125132350
oct351275441352
988756600110
1031322424042
1112313767868
1260a1996976
132c52351930
141731d257d0
15c34c9837c
hex74af642ea

31322424042 has 192 divisors, whose sum is σ = 86782026240. Its totient is φ = 7944652800.

The previous prime is 31322424041. The next prime is 31322424043. The reversal of 31322424042 is 24042422313.

31322424042 is a `hidden beast` number, since 3 + 13 + 2 + 242 + 404 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (31322424041) and next prime (31322424043).

It is a junction number, because it is equal to n+sod(n) for n = 31322423997 and 31322424015.

It is not an unprimeable number, because it can be changed into a prime (31322424041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4764934 + ... + 4771502.

It is an arithmetic number, because the mean of its divisors is an integer number (451989720).

Almost surely, 231322424042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31322424042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43391013120).

31322424042 is an abundant number, since it is smaller than the sum of its proper divisors (55459602198).

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

31322424042 is a wasteful number, since it uses less digits than its factorization.

31322424042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 31322424042 its reverse (24042422313), we get a palindrome (55364846355).

The spelling of 31322424042 in words is "thirty-one billion, three hundred twenty-two million, four hundred twenty-four thousand, forty-two".