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112331011001231 = 1119586679916121
BaseRepresentation
bin11001100010101000011010…
…000000100000101110001111
3112201201201222021222202011102
4121202220122000200232033
5104210412402304014411
61034524053135213315
732442435112226501
oct3142503200405617
9481651867882142
10112331011001231
1132879350279510
121072260437723b
134a8a9cc318ba9
141da4bc834dd71
15cebec262dd3b
hex662a1a020b8f

112331011001231 has 16 divisors (see below), whose sum is σ = 128992909190400. Its totient is φ = 96744140884800.

The previous prime is 112331011001221. The next prime is 112331011001233. The reversal of 112331011001231 is 132100110133211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112331011001231 is a prime.

It is a super-2 number, since 2×1123310110012312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112331011001233) 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 15 ways as a sum of consecutive naturals, for example, 122157851 + ... + 123073971.

It is an arithmetic number, because the mean of its divisors is an integer number (8062056824400).

Almost surely, 2112331011001231 is an apocalyptic number.

112331011001231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112331011001231 is a deficient number, since it is larger than the sum of its proper divisors (16661898189169).

112331011001231 is a wasteful number, since it uses less digits than its factorization.

112331011001231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502830.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 112331011001231 its reverse (132100110133211), we get a palindrome (244431121134442).

The spelling of 112331011001231 in words is "one hundred twelve trillion, three hundred thirty-one billion, eleven million, one thousand, two hundred thirty-one".

Divisors: 1 11 19 209 586679 916121 6453469 10077331 11146901 17406299 122615911 191469289 537468952159 5912158473749 10211910091021 112331011001231