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31515142230 = 234511131571733
BaseRepresentation
bin11101010110011100…
…101110100001010110
310000100100022002210000
4131112130232201112
51004020334022410
622251114512130
72163655201065
oct352634564126
9100310262700
1031515142230
11124025268a0
126136435646
132c83259670
14174d7701dc
15c46b64dc0
hex75672e856

31515142230 has 320 divisors, whose sum is σ = 100247450688. Its totient is φ = 7003376640.

The previous prime is 31515142223. The next prime is 31515142259. The reversal of 31515142230 is 3224151513.

31515142230 is a `hidden beast` number, since 3 + 1 + 515 + 142 + 2 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31515142194 and 31515142203.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 18184444 + ... + 18186176.

Almost surely, 231515142230 is an apocalyptic number.

31515142230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31515142230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50123725344).

31515142230 is an abundant number, since it is smaller than the sum of its proper divisors (68732308458).

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

31515142230 is a wasteful number, since it uses less digits than its factorization.

31515142230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 31515142230 its reverse (3224151513), we get a palindrome (34739293743).

The spelling of 31515142230 in words is "thirty-one billion, five hundred fifteen million, one hundred forty-two thousand, two hundred thirty".