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23102211321 = 3271919300093
BaseRepresentation
bin10101100000111111…
…111100010011111001
32012122000212221011100
4111200333330103321
5334303131230241
614340224322013
71445331361530
oct254077742371
965560787140
1023102211321
119885661332
124588a73309
1322422c8337
1411922d7317
1590329e9b6
hex560ffc4f9

23102211321 has 24 divisors (see below), whose sum is σ = 40144195520. Its totient is φ = 12506459616.

The previous prime is 23102211311. The next prime is 23102211343. The reversal of 23102211321 is 12311220132.

23102211321 is a `hidden beast` number, since 2 + 310 + 22 + 11 + 321 = 666.

It is a de Polignac number, because none of the positive numbers 2k-23102211321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23102211294 and 23102211303.

It is not an unprimeable number, because it can be changed into a prime (23102211311) 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, 9648850 + ... + 9651243.

Almost surely, 223102211321 is an apocalyptic number.

23102211321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23102211321 is a deficient number, since it is larger than the sum of its proper divisors (17041984199).

23102211321 is a wasteful number, since it uses less digits than its factorization.

23102211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19300125 (or 19300122 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23102211321 its reverse (12311220132), we get a palindrome (35413431453).

The spelling of 23102211321 in words is "twenty-three billion, one hundred two million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 19300093 57900279 135100651 173700837 366701767 405301953 1100105301 1215905859 2566912369 3300315903 7700737107 23102211321