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311214321233101 = 11132593183927497
BaseRepresentation
bin100011011000011000011101…
…1000100001110110011001101
31111210220210120010210222012201
41012300300323010032303031
5311242413412213424401
63021521515131401501
7122360331000251536
oct10660607304166315
91453823503728181
10311214321233101
1190187285aa4a70
122aaa35065b3291
13104864ccb7a460
1456bcbd40a568d
1525ea5ea8c5b01
hex11b0c3b10eccd

311214321233101 has 16 divisors (see below), whose sum is σ = 365636523526848. Its totient is φ = 261148796553600.

The previous prime is 311214321233077. The next prime is 311214321233143. The reversal of 311214321233101 is 101332123412113.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 311214321233101 - 25 = 311214321233069 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311214321233101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311214321231101) 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 15 ways as a sum of consecutive naturals, for example, 38255616 + ... + 45671881.

It is an arithmetic number, because the mean of its divisors is an integer number (22852282720428).

Almost surely, 2311214321233101 is an apocalyptic number.

It is an amenable number.

311214321233101 is a deficient number, since it is larger than the sum of its proper divisors (54422202293747).

311214321233101 is a wasteful number, since it uses less digits than its factorization.

311214321233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83953452.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 311214321233101 its reverse (101332123412113), we get a palindrome (412546444645214).

The spelling of 311214321233101 in words is "three hundred eleven trillion, two hundred fourteen billion, three hundred twenty-one million, two hundred thirty-three thousand, one hundred one".

Divisors: 1 11 13 143 25931 285241 337103 3708133 83927497 923202467 1091057461 12001632071 2176323924707 23939563171777 28292211021191 311214321233101