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14220131310 = 23357111136053
BaseRepresentation
bin11010011111001010…
…11111101111101110
31100201000200111222000
431033211133233232
5213110323200220
610311014433130
71012250056530
oct151745375756
940630614860
1014220131310
116037991140
12290a3627a6
1314580c42a8
1498c819850
15583617390
hex34f95fbee

14220131310 has 256 divisors, whose sum is σ = 47703582720. Its totient is φ = 2928199680.

The previous prime is 14220131309. The next prime is 14220131339. The reversal of 14220131310 is 1313102241.

14220131310 is a `hidden beast` number, since 1 + 4 + 220 + 131 + 310 = 666.

It is a super-2 number, since 2×142201313102 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2346244 + ... + 2352296.

It is an arithmetic number, because the mean of its divisors is an integer number (186342120).

Almost surely, 214220131310 is an apocalyptic number.

14220131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14220131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23851791360).

14220131310 is an abundant number, since it is smaller than the sum of its proper divisors (33483451410).

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

14220131310 is a wasteful number, since it uses less digits than its factorization.

14220131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6194 counting only the distinct ones).

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

Adding to 14220131310 its reverse (1313102241), we get a palindrome (15533233551).

It can be divided in two parts, 14220131 and 310, that added together give a square (14220441 = 37712).

The spelling of 14220131310 in words is "fourteen billion, two hundred twenty million, one hundred thirty-one thousand, three hundred ten".