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23002003341 = 322988130281
BaseRepresentation
bin10101011011000001…
…101011011110001101
32012101001022211122200
4111123001223132031
5334102003101331
614322244432113
71443003542142
oct253301533615
965331284580
1023002003341
119834038619
12455b3a8639
132227610c85
141182c903c9
158e95a85e6
hex55b06b78d

23002003341 has 12 divisors (see below), whose sum is σ = 34370809980. Its totient is φ = 14805887040.

The previous prime is 23002003337. The next prime is 23002003351. The reversal of 23002003341 is 14330020032.

23002003341 is a `hidden beast` number, since 2 + 300 + 20 + 0 + 3 + 341 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14676353316 + 8325650025 = 121146^2 + 91245^2 .

It is not a de Polignac number, because 23002003341 - 22 = 23002003337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23002003351) 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 11 ways as a sum of consecutive naturals, for example, 44064880 + ... + 44065401.

It is an arithmetic number, because the mean of its divisors is an integer number (2864234165).

Almost surely, 223002003341 is an apocalyptic number.

It is an amenable number.

23002003341 is a deficient number, since it is larger than the sum of its proper divisors (11368806639).

23002003341 is a wasteful number, since it uses less digits than its factorization.

23002003341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88130316 (or 88130313 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23002003341 its reverse (14330020032), we get a palindrome (37332023373).

The spelling of 23002003341 in words is "twenty-three billion, two million, three thousand, three hundred forty-one".

Divisors: 1 3 9 29 87 261 88130281 264390843 793172529 2555778149 7667334447 23002003341