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31009470030 = 233571119292707
BaseRepresentation
bin11100111000010011…
…101111011001001110
32222001002210021221000
4130320103233121032
51002001411020110
622125012321130
72145305101110
oct347023573116
988032707830
1031009470030
1112173045890
1260150131a6
132c02569846
14170253d3b0
15c1757b1c0
hex7384ef64e

31009470030 has 512 divisors, whose sum is σ = 112306176000. Its totient is φ = 5891719680.

The previous prime is 31009469999. The next prime is 31009470031. The reversal of 31009470030 is 3007490013.

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 = 31009469976 and 31009470003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31009470031) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11453937 + ... + 11456643.

It is an arithmetic number, because the mean of its divisors is an integer number (219348000).

Almost surely, 231009470030 is an apocalyptic number.

31009470030 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 31009470030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56153088000).

31009470030 is an abundant number, since it is smaller than the sum of its proper divisors (81296705970).

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

31009470030 is a wasteful number, since it uses less digits than its factorization.

31009470030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 31009470030 in words is "thirty-one billion, nine million, four hundred seventy thousand, thirty".