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2121166145 = 572231013727
BaseRepresentation
bin111111001101110…
…0110110101000001
312110211100101221002
41332123212311001
513321004304040
6550251541345
7103364420600
oct17633466501
95424311832
102121166145
1199938557a
124b245a855
1327a5bbcc7
141619d9a37
15c6348a15
hex7e6e6d41

2121166145 has 48 divisors (see below), whose sum is σ = 3121141248. Its totient is φ = 1377129600.

The previous prime is 2121166139. The next prime is 2121166153. The reversal of 2121166145 is 5416611212.

It is not a de Polignac number, because 2121166145 - 24 = 2121166129 is a prime.

It is a super-2 number, since 2×21211661452 = 8998691629388322050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567272 + ... + 570998.

It is an arithmetic number, because the mean of its divisors is an integer number (65023776).

Almost surely, 22121166145 is an apocalyptic number.

It is an amenable number.

2121166145 is a deficient number, since it is larger than the sum of its proper divisors (999975103).

2121166145 is a wasteful number, since it uses less digits than its factorization.

2121166145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3863 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 2121166145 is about 46056.1195173888. The cubic root of 2121166145 is about 1284.8671596289.

Adding to 2121166145 its reverse (5416611212), we get a palindrome (7537777357).

The spelling of 2121166145 in words is "two billion, one hundred twenty-one million, one hundred sixty-six thousand, one hundred forty-five".

Divisors: 1 5 7 23 35 49 101 115 161 245 505 707 805 1127 2323 3535 3727 4949 5635 11615 16261 18635 24745 26089 81305 85721 113827 130445 182623 376427 428605 569135 600047 913115 1882135 2634989 3000235 4200329 8657821 13174945 18444923 21001645 43289105 60604747 92224615 303023735 424233229 2121166145