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2023122045 = 35732711451
BaseRepresentation
bin111100010010110…
…0110010001111101
312012222212020201010
41320211212101331
513120404401140
6532430305433
7101064153000
oct17045462175
95188766633
102023122045
11948aaa59a
12485658279
132631b1849
14152997537
15bc92d880
hex7896647d

2023122045 has 64 divisors (see below), whose sum is σ = 3791462400. Its totient is φ = 920808000.

The previous prime is 2023121963. The next prime is 2023122061. The reversal of 2023122045 is 5402213202.

It is not a de Polignac number, because 2023122045 - 218 = 2022859901 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1393570 + ... + 1395020.

It is an arithmetic number, because the mean of its divisors is an integer number (59241600).

Almost surely, 22023122045 is an apocalyptic number.

It is an amenable number.

2023122045 is a deficient number, since it is larger than the sum of its proper divisors (1768340355).

2023122045 is a wasteful number, since it uses less digits than its factorization.

2023122045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2023122045 is about 44979.1289933453. The cubic root of 2023122045 is about 1264.7577835129.

Adding to 2023122045 its reverse (5402213202), we get a palindrome (7425335247).

The spelling of 2023122045 in words is "two billion, twenty-three million, one hundred twenty-two thousand, forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 271 343 735 813 1029 1355 1451 1715 1897 4065 4353 5145 5691 7255 9485 10157 13279 21765 28455 30471 39837 50785 66395 71099 92953 152355 199185 213297 278859 355495 393221 464765 497693 1066485 1179663 1394295 1493079 1966105 2488465 2752547 5898315 7465395 8257641 13762735 19267829 41288205 57803487 96339145 134874803 289017435 404624409 674374015 2023122045