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2131114860 = 223657219157
BaseRepresentation
bin111111100000110…
…0011101101101100
312111112001212000000
41333001203231230
513331031133420
6551245104300
7103545114600
oct17701435554
95445055000
102131114860
119a3a60156
124b5858090
1327c693414
14163069500
15c7161690
hex7f063b6c

2131114860 has 504 divisors, whose sum is σ = 8268588720. Its totient is φ = 458535168.

The previous prime is 2131114819. The next prime is 2131114861. The reversal of 2131114860 is 684111312.

It is a happy number.

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 (2131114861) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13573902 + ... + 13574058.

It is an arithmetic number, because the mean of its divisors is an integer number (16405930).

Almost surely, 22131114860 is an apocalyptic number.

2131114860 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 2131114860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134294360).

2131114860 is an abundant number, since it is smaller than the sum of its proper divisors (6137473860).

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

2131114860 is a wasteful number, since it uses less digits than its factorization.

2131114860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2131114860 is about 46163.9996100858. Note that the first 3 decimals coincide. The cubic root of 2131114860 is about 1286.8727929434.

The spelling of 2131114860 in words is "two billion, one hundred thirty-one million, one hundred fourteen thousand, eight hundred sixty".