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31321010112 = 2637243139557
BaseRepresentation
bin11101001010111000…
…001010111111000000
32222211211000011120120
4131022320022333000
51003121134310422
622215541540240
72156110123200
oct351270127700
988754004516
1031321010112
1112312991527
1260a1414680
132c51c781a2
141731a78400
15c34ab945c
hex74ae0afc0

31321010112 has 336 divisors, whose sum is σ = 99529879680. Its totient is φ = 8662284288.

The previous prime is 31321010107. The next prime is 31321010117. The reversal of 31321010112 is 21101012313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31321010107) and next prime (31321010117).

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 31321010091 and 31321010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31321010117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56231338 + ... + 56231894.

It is an arithmetic number, because the mean of its divisors is an integer number (296219880).

Almost surely, 231321010112 is an apocalyptic number.

31321010112 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 31321010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49764939840).

31321010112 is an abundant number, since it is smaller than the sum of its proper divisors (68208869568).

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

31321010112 is a wasteful number, since it uses less digits than its factorization.

31321010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 751 counting only the distinct ones).

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

Adding to 31321010112 its reverse (21101012313), we get a palindrome (52422022425).

The spelling of 31321010112 in words is "thirty-one billion, three hundred twenty-one million, ten thousand, one hundred twelve".