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1105961233 = 132318232029
BaseRepresentation
bin100000111101011…
…1010000100010001
32212002001122121011
41001322322010101
54231111224413
6301424330521
736256341526
oct10172720421
92762048534
101105961233
11518317053
1226a473a41
1314818a140
14a6c5114d
156716233d
hex41eba111

1105961233 has 16 divisors (see below), whose sum is σ = 1244113920. Its totient is φ = 975484224.

The previous prime is 1105961221. The next prime is 1105961257. The reversal of 1105961233 is 3321695011.

It is a happy number.

It is not a de Polignac number, because 1105961233 - 25 = 1105961201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1105961195 and 1105961204.

It is not an unprimeable number, because it can be changed into a prime (1105961203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544063 + ... + 546091.

It is an arithmetic number, because the mean of its divisors is an integer number (77757120).

Almost surely, 21105961233 is an apocalyptic number.

1105961233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1105961233 is a deficient number, since it is larger than the sum of its proper divisors (138152687).

1105961233 is a wasteful number, since it uses less digits than its factorization.

1105961233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 1105961233 is about 33255.9954444308. The cubic root of 1105961233 is about 1034.1415031687.

The spelling of 1105961233 in words is "one billion, one hundred five million, nine hundred sixty-one thousand, two hundred thirty-three".

Divisors: 1 13 23 299 1823 2029 23699 26377 41929 46667 545077 606671 3698867 48085271 85073941 1105961233