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23140334104101 = 3323271137501911
BaseRepresentation
bin1010100001011110001110…
…11001001110111000100101
310000221012020200002220112000
411100233013121032320211
511013112401012312401
6121114304524315513
74605556023335514
oct520570731167045
9100835220086460
1023140334104101
117411840375245
1227189030a2b99
13cbb17c984756
1459ddd8cb267b
152a1dee7e5186
hex150bc764ee25

23140334104101 has 32 divisors (see below), whose sum is σ = 35904499261440. Its totient is φ = 14701704217200.

The previous prime is 23140334104099. The next prime is 23140334104133. The reversal of 23140334104101 is 10140143304132.

23140334104101 is a `hidden beast` number, since 2 + 3 + 140 + 3 + 3 + 410 + 4 + 101 = 666.

It is not a de Polignac number, because 23140334104101 - 21 = 23140334104099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23140334104801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68582665 + ... + 68919246.

It is an arithmetic number, because the mean of its divisors is an integer number (1122015601920).

Almost surely, 223140334104101 is an apocalyptic number.

It is an amenable number.

23140334104101 is a deficient number, since it is larger than the sum of its proper divisors (12764165157339).

23140334104101 is a wasteful number, since it uses less digits than its factorization.

23140334104101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137502214 (or 137502208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23140334104101 its reverse (10140143304132), we get a palindrome (33280477408233).

The spelling of 23140334104101 in words is "twenty-three trillion, one hundred forty billion, three hundred thirty-four million, one hundred four thousand, one hundred one".

Divisors: 1 3 9 23 27 69 207 271 621 813 2439 6233 7317 18699 56097 168291 137501911 412505733 1237517199 3162543953 3712551597 9487631859 28462895577 37263017881 85388686731 111789053643 335367160929 857049411263 1006101482787 2571148233789 7713444701367 23140334104101