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231151121280 = 2733529461269
BaseRepresentation
bin1101011101000110101…
…1100011001110000000
3211002122022121121102000
43113101223203032000
512241344141340110
6254104522424000
722462066053402
oct3272153431600
9732568547360
10231151121280
118a037866732
1238970062000
1318a4a023811
14b28b374b72
15602d1811c0
hex35d1ae3380

231151121280 has 256 divisors, whose sum is σ = 846891720000. Its totient is φ = 59514642432.

The previous prime is 231151121213. The next prime is 231151121281. The reversal of 231151121280 is 82121151132.

231151121280 is a `hidden beast` number, since 2 + 311 + 51 + 1 + 21 + 280 = 666.

It is a super-3 number, since 3×2311511212803 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231151121281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270486 + ... + 731754.

Almost surely, 2231151121280 is an apocalyptic number.

231151121280 is a gapful number since it is divisible by the number (20) 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 231151121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423445860000).

231151121280 is an abundant number, since it is smaller than the sum of its proper divisors (615740598720).

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

231151121280 is a wasteful number, since it uses less digits than its factorization.

231151121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461326 (or 461308 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 231151121280 in words is "two hundred thirty-one billion, one hundred fifty-one million, one hundred twenty-one thousand, two hundred eighty".