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31122431340 = 223572111374027
BaseRepresentation
bin11100111111000010…
…101001110101101100
32222022222100022201020
4130333002221311230
51002214320300330
622144125414140
72151146205300
oct347702516554
988288308636
1031122431340
111222088a340
126046a0a350
132c1ca9aa60
141713545d00
15c22441210
hex73f0a9d6c

31122431340 has 288 divisors, whose sum is σ = 119093877504. Its totient is φ = 5969456640.

The previous prime is 31122431321. The next prime is 31122431359. The reversal of 31122431340 is 4313422113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31122431321) and next prime (31122431359).

It is a self number, because there is not a number n which added to its sum of digits gives 31122431340.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383407 + ... + 457433.

It is an arithmetic number, because the mean of its divisors is an integer number (413520408).

Almost surely, 231122431340 is an apocalyptic number.

31122431340 is a gapful number since it is divisible by the number (30) 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 31122431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59546938752).

31122431340 is an abundant number, since it is smaller than the sum of its proper divisors (87971446164).

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

31122431340 is a wasteful number, since it uses less digits than its factorization.

31122431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74077 (or 74068 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31122431340 its reverse (4313422113), we get a palindrome (35435853453).

The spelling of 31122431340 in words is "thirty-one billion, one hundred twenty-two million, four hundred thirty-one thousand, three hundred forty".