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12331011012133 = 11172321193135281
BaseRepresentation
bin1011001101110000100110…
…0001111111011000100101
31121122211111100200202211111
42303130021201333120211
53104012402304342013
642120442132505021
72411612643131062
oct263341141773045
947584440622744
1012331011012133
113a2460927a550
1214719ba77b171
136b5a6a1a7bc8
14308b77541c69
15165b57d6273d
hexb370987f625

12331011012133 has 32 divisors (see below), whose sum is σ = 14863392214272. Its totient is φ = 10091325235200.

The previous prime is 12331011012101. The next prime is 12331011012137. The reversal of 12331011012133 is 33121011013321.

It is not a de Polignac number, because 12331011012133 - 25 = 12331011012101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331011012137) 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, 91083453 + ... + 91218733.

It is an arithmetic number, because the mean of its divisors is an integer number (464481006696).

Almost surely, 212331011012133 is an apocalyptic number.

It is an amenable number.

12331011012133 is a deficient number, since it is larger than the sum of its proper divisors (2532381202139).

12331011012133 is a wasteful number, since it uses less digits than its factorization.

12331011012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156525.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 12331011012133 its reverse (33121011013321), we get a palindrome (45452022025454).

The spelling of 12331011012133 in words is "twelve trillion, three hundred thirty-one billion, eleven million, twelve thousand, one hundred thirty-three".

Divisors: 1 11 17 23 187 253 391 4301 21193 135281 233123 360281 487439 1488091 2299777 3111463 3963091 5361829 8286463 25297547 34226093 52894871 91151093 581843581 2867010233 31537112563 48739173961 65941235359 536130913571 725353588949 1121001001103 12331011012133