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31130121240 = 233251972631669
BaseRepresentation
bin11100111111011111…
…111111010000011000
32222100111211000021100
4130333133333100120
51002223302334430
622145002311400
72151301443651
oct347737772030
988314730240
1031130121240
1112225161929
1260494b8560
132c21560caa
141714588528
15c22e5e960
hex73f7ff418

31130121240 has 192 divisors, whose sum is σ = 102134260800. Its totient is φ = 8222893056.

The previous prime is 31130121233. The next prime is 31130121247. The reversal of 31130121240 is 4212103113.

31130121240 is a `hidden beast` number, since 311 + 301 + 2 + 12 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (31130121233) and next prime (31130121247).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130121247) 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 47 ways as a sum of consecutive naturals, for example, 18651126 + ... + 18652794.

It is an arithmetic number, because the mean of its divisors is an integer number (531949275).

Almost surely, 231130121240 is an apocalyptic number.

31130121240 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 31130121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51067130400).

31130121240 is an abundant number, since it is smaller than the sum of its proper divisors (71004139560).

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

31130121240 is a wasteful number, since it uses less digits than its factorization.

31130121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31130121240 its reverse (4212103113), we get a palindrome (35342224353).

The spelling of 31130121240 in words is "thirty-one billion, one hundred thirty million, one hundred twenty-one thousand, two hundred forty".