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113022343220311 = 77910913114313353
BaseRepresentation
bin11001101100101100010000…
…100111101000110001010111
3112211011211102102112020210101
4121230230100213220301113
5104303224224331022221
61040213425300034531
732543411012151640
oct3154542047506127
9484154372466711
10113022343220311
1133015563296aa8
12108145a2092a47
134b0ac65aa4685
141dca44c3dc6c7
15d0ee8577ed91
hex66cb109e8c57

113022343220311 has 32 divisors (see below), whose sum is σ = 133011136051200. Its totient is φ = 94049028253440.

The previous prime is 113022343220299. The next prime is 113022343220357.

113022343220311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 113022343220311 - 235 = 112987983481943 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 113022343220311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022341220311) 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 31 ways as a sum of consecutive naturals, for example, 739611 + ... + 15052963.

It is an arithmetic number, because the mean of its divisors is an integer number (4156598001600).

Almost surely, 2113022343220311 is an apocalyptic number.

113022343220311 is a deficient number, since it is larger than the sum of its proper divisors (19988792830889).

113022343220311 is a wasteful number, since it uses less digits than its factorization.

113022343220311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14313679.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 113022343220311 in words is "one hundred thirteen trillion, twenty-two billion, three hundred forty-three million, two hundred twenty thousand, three hundred eleven".

Divisors: 1 7 79 109 131 553 763 917 8611 10349 14279 60277 72443 99953 1128041 7896287 14313353 100193471 1130754887 1560155477 1875049243 7915284209 10921088339 13125344701 123252282683 148128890197 204380367487 862765978781 1036902231379 1430662572409 16146049031473 113022343220311