Search a number
-
+
2123334577 = 713371993169
BaseRepresentation
bin111111010001111…
…1000001110110001
312110222102120110101
41332203320032301
513322033201302
6550410232401
7103422021550
oct17643701661
95428376411
102123334577
1199a626771
124b3125701
1327ab9acc0
14162001d97
15c6626287
hex7e8f83b1

2123334577 has 32 divisors (see below), whose sum is σ = 2698304000. Its totient is φ = 1625868288.

The previous prime is 2123334547. The next prime is 2123334581. The reversal of 2123334577 is 7754333212.

It is a 4-Lehmer number, since φ(2123334577) divides (2123334577-1)4.

It is a cyclic number.

It is not a de Polignac number, because 2123334577 - 227 = 1989116849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R2123334576.

It is not an unprimeable number, because it can be changed into a prime (2123334547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668449 + ... + 671617.

It is an arithmetic number, because the mean of its divisors is an integer number (84322000).

It is a Poulet number, since it divides 22123334576-1.

Almost surely, 22123334577 is an apocalyptic number.

It is an amenable number.

2123334577 is a deficient number, since it is larger than the sum of its proper divisors (574969423).

2123334577 is a wasteful number, since it uses less digits than its factorization.

2123334577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425.

The product of its digits is 105840, while the sum is 37.

The square root of 2123334577 is about 46079.6546970569. The cubic root of 2123334577 is about 1285.3048431173.

Adding to 2123334577 its reverse (7754333212), we get a palindrome (9877667789).

The spelling of 2123334577 in words is "two billion, one hundred twenty-three million, three hundred thirty-four thousand, five hundred seventy-seven".

Divisors: 1 7 13 37 91 199 259 481 1393 2587 3169 3367 7363 18109 22183 41197 51541 95719 117253 288379 630631 670033 820771 1524289 4414417 8198203 10670023 23333347 57387421 163333429 303333511 2123334577