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11304102415 = 529314183739
BaseRepresentation
bin10101000011100011…
…01110101000001111
31002011210122220022211
422201301232220033
5141122322234130
65105410051251
7550061166544
oct124161565017
932153586284
1011304102415
114880964501
122235879b27
1310b1c307c8
14793430bcb
1546260da2a
hex2a1c6ea0f

11304102415 has 64 divisors (see below), whose sum is σ = 15037747200. Its totient is φ = 8133350400.

The previous prime is 11304102389. The next prime is 11304102427. The reversal of 11304102415 is 51420140311.

11304102415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11304102415 - 27 = 11304102287 is a prime.

It is a super-3 number, since 3×113041024153 (a number of 31 digits) contains 333 as substring.

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, 15296116 + ... + 15296854.

It is an arithmetic number, because the mean of its divisors is an integer number (234964800).

Almost surely, 211304102415 is an apocalyptic number.

11304102415 is a deficient number, since it is larger than the sum of its proper divisors (3733644785).

11304102415 is a wasteful number, since it uses less digits than its factorization.

11304102415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11304102415 its reverse (51420140311), we get a palindrome (62724242726).

The spelling of 11304102415 in words is "eleven billion, three hundred four million, one hundred two thousand, four hundred fifteen".

Divisors: 1 5 29 31 41 83 145 155 205 415 739 899 1189 1271 2407 2573 3403 3695 4495 5945 6355 12035 12865 17015 21431 22909 30299 36859 61337 74617 98687 105493 107155 114545 151495 184295 306685 373085 493435 527465 664361 878671 939269 1778773 1901447 2514817 3059297 3321805 4393355 4696345 8893865 9507235 12574085 15296485 27238801 55141963 72929693 77959327 136194005 275709815 364648465 389796635 2260820483 11304102415