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12311023233201 = 371190135913067
BaseRepresentation
bin1011001100100110001000…
…1010101010100010110001
31121120220220101011101201220
42303021202022222202301
53103200433421430301
642103334521215253
72410304426614110
oct263114212524261
947526811141656
1012311023233201
113a17091738390
121469b60931529
136b3c031bba94
14307bdcb1bc77
1516538820c936
hexb32622aa8b1

12311023233201 has 32 divisors (see below), whose sum is σ = 20467351661568. Its totient is φ = 6394626095040.

The previous prime is 12311023233181. The next prime is 12311023233221. The reversal of 12311023233201 is 10233232011321.

It is an interprime number because it is at equal distance from previous prime (12311023233181) and next prime (12311023233221).

It is not a de Polignac number, because 12311023233201 - 218 = 12311022971057 is a prime.

It is a super-2 number, since 2×123110232332012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12311023233221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874531 + ... + 5038536.

It is an arithmetic number, because the mean of its divisors is an integer number (639604739424).

Almost surely, 212311023233201 is an apocalyptic number.

12311023233201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311023233201 is a deficient number, since it is larger than the sum of its proper divisors (8156328428367).

12311023233201 is a wasteful number, since it uses less digits than its factorization.

12311023233201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922101.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12311023233201 its reverse (10233232011321), we get a palindrome (22544255244522).

The spelling of 12311023233201 in words is "twelve trillion, three hundred eleven billion, twenty-three million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 3 7 11 21 33 77 231 9013 27039 63091 99143 189273 297429 694001 2082003 5913067 17739201 41391469 65043737 124174407 195131211 455306159 1365918477 53294472871 159883418613 373061310097 586239201581 1119183930291 1758717604743 4103674411067 12311023233201