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12238313505 = 3511347213751
BaseRepresentation
bin10110110010111010…
…11101100000100001
31011120220112202000120
423121131131200201
5200031002013010
65342221310453
7612163643205
oct133135354041
934526482016
1012238313505
115210233090
122456705429
131200644b32
14841534b05
154b9646e70
hex2d975d821

12238313505 has 32 divisors (see below), whose sum is σ = 21423080448. Its totient is φ = 5916600000.

The previous prime is 12238313489. The next prime is 12238313509. The reversal of 12238313505 is 50531383221.

12238313505 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 12238313505 - 24 = 12238313489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12238313509) 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 31 ways as a sum of consecutive naturals, for example, 49621 + ... + 164130.

It is an arithmetic number, because the mean of its divisors is an integer number (669471264).

Almost surely, 212238313505 is an apocalyptic number.

12238313505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12238313505 is a deficient number, since it is larger than the sum of its proper divisors (9184766943).

12238313505 is a wasteful number, since it uses less digits than its factorization.

12238313505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214117.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 12238313505 its reverse (50531383221), we get a palindrome (62769696726).

The spelling of 12238313505 in words is "twelve billion, two hundred thirty-eight million, three hundred thirteen thousand, five hundred five".

Divisors: 1 3 5 11 15 33 55 165 347 1041 1735 3817 5205 11451 19085 57255 213751 641253 1068755 2351261 3206265 7053783 11756305 35268915 74171597 222514791 370857985 815887567 1112573955 2447662701 4079437835 12238313505