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2245135123 = 71153515449
BaseRepresentation
bin1000010111010010…
…0000101100010011
312210110121200101201
42011310200230103
514044223310443
61010441012031
7106431222310
oct20564405423
95713550351
102245135123
11a52358280
12527a84017
1329a1a562a
14174269d07
15d218534d
hex85d20b13

2245135123 has 16 divisors (see below), whose sum is σ = 2800166400. Its totient is φ = 1748808000.

The previous prime is 2245135027. The next prime is 2245135127. The reversal of 2245135123 is 3215315422.

It is a cyclic number.

It is not a de Polignac number, because 2245135123 - 213 = 2245126931 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2245135091 and 2245135100.

It is not an unprimeable number, because it can be changed into a prime (2245135127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409303 + ... + 414751.

It is an arithmetic number, because the mean of its divisors is an integer number (175010400).

Almost surely, 22245135123 is an apocalyptic number.

2245135123 is a deficient number, since it is larger than the sum of its proper divisors (555031277).

2245135123 is a wasteful number, since it uses less digits than its factorization.

2245135123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10818.

The product of its digits is 7200, while the sum is 28.

The square root of 2245135123 is about 47382.8568471763. The cubic root of 2245135123 is about 1309.4256019564.

The spelling of 2245135123 in words is "two billion, two hundred forty-five million, one hundred thirty-five thousand, one hundred twenty-three".

Divisors: 1 7 11 77 5351 5449 37457 38143 58861 59939 412027 419573 29157599 204103193 320733589 2245135123