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2131311420 = 2233571721951
BaseRepresentation
bin111111100001001…
…0011101100111100
312111112102211122000
41333002103230330
513331103431140
6551253222300
7103546563630
oct17702235474
95445384560
102131311420
119a40848a7
124b5931990
1327c731a24
141630badc0
15c719ea30
hex7f093b3c

2131311420 has 288 divisors, whose sum is σ = 8054108160. Its totient is φ = 458265600.

The previous prime is 2131311401. The next prime is 2131311421. The reversal of 2131311420 is 241131312.

2131311420 is a `hidden beast` number, since 213 + 1 + 31 + 1 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2131311393 and 2131311402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131311421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1091445 + ... + 1093395.

Almost surely, 22131311420 is an apocalyptic number.

2131311420 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 2131311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027054080).

2131311420 is an abundant number, since it is smaller than the sum of its proper divisors (5922796740).

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

2131311420 is a wasteful number, since it uses less digits than its factorization.

2131311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1985 counting only the distinct ones).

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

The square root of 2131311420 is about 46166.1284926514. The cubic root of 2131311420 is about 1286.9123559510.

Adding to 2131311420 its reverse (241131312), we get a palindrome (2372442732).

The spelling of 2131311420 in words is "two billion, one hundred thirty-one million, three hundred eleven thousand, four hundred twenty".