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213112202211312 = 24317218572578517
BaseRepresentation
bin110000011101001100001101…
…000111000010111111110000
31000221120022211210101111012220
4300131030031013002333300
5210413112242231230222
62033130221044521040
762613564016205625
oct6035141507027760
91027508753344186
10213112202211312
11619a44173630a8
121ba9a6a53b0180
1391bb51876b1c1
143a8a9854c434c
15199880dd25b5c
hexc1d30d1c2ff0

213112202211312 has 40 divisors (see below), whose sum is σ = 550540388959056. Its totient is φ = 71037331931136.

The previous prime is 213112202211257. The next prime is 213112202211319.

213112202211312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2131122022113122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112202211319) 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 7 ways as a sum of consecutive naturals, for example, 81359878 + ... + 83938394.

Almost surely, 2213112202211312 is an apocalyptic number.

It is an amenable number.

213112202211312 is an abundant number, since it is smaller than the sum of its proper divisors (337428186747744).

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

213112202211312 is a wasteful number, since it uses less digits than its factorization.

213112202211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300385 (or 4300379 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 21311220 and 2211312, that added together give a palindrome (23522532).

The spelling of 213112202211312 in words is "two hundred thirteen trillion, one hundred twelve billion, two hundred two million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1721857 2578517 3443714 5157034 5165571 6887428 7735551 10314068 10331142 13774856 15471102 20628136 20662284 27549712 30942204 41256272 41324568 61884408 82649136 123768816 4439837546069 8879675092138 13319512638207 17759350184276 26639025276414 35518700368552 53278050552828 71037400737104 106556101105656 213112202211312