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331214000000310 = 232571924135520337
BaseRepresentation
bin100101101001111001100010…
…0110100001000110100110110
31121102201202020010211011022200
41023103303010310020310312
5321403102233000002220
63132233335552405330
7126523264454001630
oct11323630464106466
91542652203734280
10331214000000310
11965980832a6059
12311935aa546846
13112a746673aacb
145bb0bb37c3a50
152845982456890
hex12d3cc4d08d36

331214000000310 has 288 divisors, whose sum is σ = 1064038151921472. Its totient is φ = 69972220293120.

The previous prime is 331214000000209. The next prime is 331214000000311. The reversal of 331214000000310 is 13000000412133.

331214000000310 is a `hidden beast` number, since 3 + 312 + 1 + 40 + 0 + 0 + 0 + 0 + 0 + 310 = 666.

It is a super-2 number, since 2×3312140000003102 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331214000000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8435539 + ... + 27084798.

It is an arithmetic number, because the mean of its divisors is an integer number (3694576916394).

Almost surely, 2331214000000310 is an apocalyptic number.

331214000000310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331214000000310 is an abundant number, since it is smaller than the sum of its proper divisors (732824151921162).

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

331214000000310 is a wasteful number, since it uses less digits than its factorization.

331214000000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35520436 (or 35520414 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331214000000310 its reverse (13000000412133), we get a palindrome (344214000412443).

The spelling of 331214000000310 in words is "three hundred thirty-one trillion, two hundred fourteen billion, three hundred ten", and thus it is an aban number.