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12312331132101 = 37111337110811091
BaseRepresentation
bin1011001100101011000000…
…0111111001110011000101
31121121001021112012112201220
42303022300013321303011
53103211123232211401
642104112402110553
72410352020563330
oct263126007716305
947531245175656
1012312331132101
113a176a2a40170
12146a26694b459
136b4081161160
14307cc46d7617
15165412e5d336
hexb32b01f9cc5

12312331132101 has 64 divisors (see below), whose sum is σ = 22637376362496. Its totient is φ = 5744446905600.

The previous prime is 12312331132091. The next prime is 12312331132121. The reversal of 12312331132101 is 10123113321321.

12312331132101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12312331132101 - 219 = 12312330607813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312331132121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55294435 + ... + 55516656.

It is an arithmetic number, because the mean of its divisors is an integer number (353709005664).

Almost surely, 212312331132101 is an apocalyptic number.

12312331132101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12312331132101 is a deficient number, since it is larger than the sum of its proper divisors (10325045230395).

12312331132101 is a wasteful number, since it uses less digits than its factorization.

12312331132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110811162.

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

Adding to 12312331132101 its reverse (10123113321321), we get a palindrome (22435444453422).

The spelling of 12312331132101 in words is "twelve trillion, three hundred twelve billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 110811091 332433273 775677637 1218922001 1440544183 2327032911 3656766003 4100010367 4321632549 8532454007 10083809281 12300031101 15845986013 25597362021 28700072569 30251427843 45100114037 47537958039 53300134771 86100217707 110921902091 135300342111 159900404313 315700798259 332765706273 373100943397 586301482481 947102394777 1119302830191 1758904447443 4104110377367 12312331132101