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2342212132311 = 33372523312109
BaseRepresentation
bin100010000101010110101…
…110001101110111010111
322021220122210100101021000
4202011112232031313113
5301333322301213221
64551555234354343
7331135125430512
oct42052656156727
98256583311230
102342212132311
11823365761947
12319b2a12b9b3
1313cb3c83415c
1481513cb7d79
1540dd6489e26
hex22156b8ddd7

2342212132311 has 48 divisors (see below), whose sum is σ = 3567236887200. Its totient is φ = 1518856966656.

The previous prime is 2342212132297. The next prime is 2342212132349. The reversal of 2342212132311 is 1132312122432.

2342212132311 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 212 + 132 + 311 = 666.

It is not a de Polignac number, because 2342212132311 - 221 = 2342210035159 is a prime.

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 (2342212130311) 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 47 ways as a sum of consecutive naturals, for example, 193421325 + ... + 193433433.

It is an arithmetic number, because the mean of its divisors is an integer number (74317435150).

Almost surely, 22342212132311 is an apocalyptic number.

2342212132311 is a deficient number, since it is larger than the sum of its proper divisors (1225024754889).

2342212132311 is a wasteful number, since it uses less digits than its factorization.

2342212132311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17425 (or 17382 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 2342212132311 its reverse (1132312122432), we get a palindrome (3474524254743).

The spelling of 2342212132311 in words is "two trillion, three hundred forty-two billion, two hundred twelve million, one hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 9 27 37 111 333 999 1369 4107 5233 12109 12321 15699 36327 36963 47097 108981 141291 193621 326943 448033 580863 1344099 1742589 4032297 5227767 7163977 12096891 16577221 21491931 49731663 63366397 64475793 149194989 190099191 193427379 447584967 570297573 1710892719 2344556689 7033670067 21101010201 63303030603 86748597493 260245792479 780737377437 2342212132311