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233130400041 = 3711291747501
BaseRepresentation
bin1101100100011110100…
…1111001100100101001
3211021202020222101102210
43121013221321210221
512304422340300131
6255033145315333
722562121463410
oct3310751714451
9737666871383
10233130400041
118a963040100
1239222a95b49
1318ca40c4396
14b3d8198477
1560e6cee146
hex3647a79929

233130400041 has 24 divisors (see below), whose sum is σ = 390477368512. Its totient is φ = 121106700000.

The previous prime is 233130400037. The next prime is 233130400103. The reversal of 233130400041 is 140004031332.

It is not a de Polignac number, because 233130400041 - 22 = 233130400037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 233130399990 and 233130400017.

It is not an unprimeable number, because it can be changed into a prime (233130400021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45871210 + ... + 45876291.

Almost surely, 2233130400041 is an apocalyptic number.

233130400041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

233130400041 is a deficient number, since it is larger than the sum of its proper divisors (157346968471).

233130400041 is a wasteful number, since it uses less digits than its factorization.

233130400041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91747533 (or 91747522 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 233130400041 its reverse (140004031332), we get a palindrome (373134431373).

The spelling of 233130400041 in words is "two hundred thirty-three billion, one hundred thirty million, four hundred thousand, forty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 2541 91747501 275242503 642232507 1009222511 1926697521 3027667533 7064557577 11101447621 21193672731 33304342863 77710133347 233130400041