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1153313124233 = 29731807730137
BaseRepresentation
bin10000110010000110110…
…100011010111110001001
311002020220101010002101112
4100302012310122332021
5122343441124433413
62241454050500105
7146216113543424
oct20620664327611
94066811102345
101153313124233
11405132212346
1216762a294635
13849ac073c2a
143db6bc2c9bb
152000113c2a8
hex10c86d1af89

1153313124233 has 16 divisors (see below), whose sum is σ = 1209533176080. Its totient is φ = 1098192485376.

The previous prime is 1153313124209. The next prime is 1153313124241. The reversal of 1153313124233 is 3324213133511.

It can be written as a sum of positive squares in 8 ways, for example, as 13218790729 + 1140094333504 = 114973^2 + 1067752^2 .

It is a cyclic number.

It is not a de Polignac number, because 1153313124233 - 236 = 1084593647497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1153313124233.

It is not an unprimeable number, because it can be changed into a prime (1153313124833) 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, 38253941 + ... + 38284077.

It is an arithmetic number, because the mean of its divisors is an integer number (75595823505).

Almost surely, 21153313124233 is an apocalyptic number.

It is an amenable number.

1153313124233 is a deficient number, since it is larger than the sum of its proper divisors (56220051847).

1153313124233 is a wasteful number, since it uses less digits than its factorization.

1153313124233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48316.

The product of its digits is 19440, while the sum is 32.

Adding to 1153313124233 its reverse (3324213133511), we get a palindrome (4477526257744).

The spelling of 1153313124233 in words is "one trillion, one hundred fifty-three billion, three hundred thirteen million, one hundred twenty-four thousand, two hundred thirty-three".

Divisors: 1 29 73 2117 18077 30137 524233 873973 1319621 2200001 38269009 63800029 544786549 15798809921 39769418077 1153313124233