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11323312311201 = 3112313492883233
BaseRepresentation
bin1010010011000110101000…
…0000100000101110100001
31111002111110002210211001220
42210301222000200232201
52441010120422424301
640025505144245253
72246040143401602
oct244615200405641
944074402724056
1011323312311201
11367620a668700
12132a64a470829
13641a25c30437
142b20a0861da9
1514982a7b9936
hexa4c6a020ba1

11323312311201 has 48 divisors (see below), whose sum is σ = 17179461465600. Its totient is φ = 6622207257600.

The previous prime is 11323312311197. The next prime is 11323312311253. The reversal of 11323312311201 is 10211321332311.

It is not a de Polignac number, because 11323312311201 - 22 = 11323312311197 is a prime.

It is a super-2 number, since 2×113233123112012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11323312311001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2485681 + ... + 5368913.

It is an arithmetic number, because the mean of its divisors is an integer number (357905447200).

Almost surely, 211323312311201 is an apocalyptic number.

11323312311201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11323312311201 is a deficient number, since it is larger than the sum of its proper divisors (5856149154399).

11323312311201 is a wasteful number, since it uses less digits than its factorization.

11323312311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883638 (or 2883627 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11323312311201 its reverse (10211321332311), we get a palindrome (21534633643512).

The spelling of 11323312311201 in words is "eleven trillion, three hundred twenty-three billion, three hundred twelve million, three hundred eleven thousand, two hundred one".

Divisors: 1 3 11 31 33 93 121 341 349 363 1023 1047 3751 3839 10819 11253 11517 32457 42229 119009 126687 357027 1309099 2883233 3927297 8649699 31715563 89380223 95146689 268140669 348871193 983182453 1006248317 1046613579 2949547359 3018744951 10815006983 11068731487 31193697827 32445020949 33206194461 93581093481 121756046357 343130676097 365268139071 1029392028291 3774437437067 11323312311201