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11342200415 = 5713591133739
BaseRepresentation
bin10101001000000110…
…00011111001011111
31002021110100110221212
422210003003321133
5141212100403130
65113250415035
7551033053460
oct124403037137
932243313855
1011342200415
1148a0416057
12224659147b
1310b9aac6c0
1479850ad67
15465b36e95
hex2a40c3e5f

11342200415 has 64 divisors (see below), whose sum is σ = 17190835200. Its totient is φ = 6993229824.

The previous prime is 11342200379. The next prime is 11342200417. The reversal of 11342200415 is 51400224311.

11342200415 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 11342200415 - 214 = 11342184031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11342200417) by changing a digit.

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, 3031616 + ... + 3035354.

It is an arithmetic number, because the mean of its divisors is an integer number (268606800).

Almost surely, 211342200415 is an apocalyptic number.

11342200415 is a deficient number, since it is larger than the sum of its proper divisors (5848634785).

11342200415 is a wasteful number, since it uses less digits than its factorization.

11342200415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 11342200415 its reverse (51400224311), we get a palindrome (62742424726).

The spelling of 11342200415 in words is "eleven billion, three hundred forty-two million, two hundred thousand, four hundred fifteen".

Divisors: 1 5 7 13 35 59 65 91 113 295 413 455 565 767 791 1469 2065 3739 3835 3955 5369 6667 7345 10283 18695 26173 26845 33335 46669 48607 51415 86671 130865 220601 233345 243035 340249 422507 433355 606697 1103005 1544207 1701245 2112535 2867813 2957549 3033485 5492591 7721035 14339065 14787745 20074691 24927913 27462955 38448137 100373455 124639565 174495391 192240685 324062869 872476955 1620314345 2268440083 11342200415