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23164120427 = 71941101137307
BaseRepresentation
bin10101100100101100…
…000110110101101011
32012210100101020111012
4111210230012311223
5334420003323202
614350315254135
71450012526540
oct254454066553
965710336435
1023164120427
1199075a6588
1245a574a34b
132252093246
14119a610bc7
1590892d152
hex564b06d6b

23164120427 has 64 divisors (see below), whose sum is σ = 29133941760. Its totient is φ = 17978112000.

The previous prime is 23164120411. The next prime is 23164120453. The reversal of 23164120427 is 72402146132.

It is a cyclic number.

It is not a de Polignac number, because 23164120427 - 24 = 23164120411 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23164120393 and 23164120402.

It is not an unprimeable number, because it can be changed into a prime (23164120477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75453008 + ... + 75453314.

It is an arithmetic number, because the mean of its divisors is an integer number (455217840).

Almost surely, 223164120427 is an apocalyptic number.

23164120427 is a deficient number, since it is larger than the sum of its proper divisors (5969821333).

23164120427 is a wasteful number, since it uses less digits than its factorization.

23164120427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 23164120427 its reverse (72402146132), we get a palindrome (95566266559).

The spelling of 23164120427 in words is "twenty-three billion, one hundred sixty-four million, one hundred twenty thousand, four hundred twenty-seven".

Divisors: 1 7 19 41 101 133 137 287 307 707 779 959 1919 2149 2603 4141 5453 5617 5833 12587 13433 13837 18221 28987 31007 39319 40831 42059 78679 88109 96859 106723 217049 239153 262903 294413 550753 567317 589133 747061 799121 1271287 1674071 1724419 1840321 3971219 4123931 4247959 5593847 8899009 10779023 12070933 24154453 29735713 32763961 75453161 80711221 169081171 174166319 229347727 564978547 1219164233 3309160061 23164120427