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12252402253 = 713534335867
BaseRepresentation
bin10110110100100110…
…01101001001001101
31011121220001112011001
423122103031021031
5200043103333003
65343443300301
7612424462240
oct133223151115
934556045131
1012252402253
115218186183
12245b37a691
131203538780
14843361257
154ba9cb61d
hex2da4cd24d

12252402253 has 32 divisors (see below), whose sum is σ = 15402514176. Its totient is φ = 9487715328.

The previous prime is 12252402199. The next prime is 12252402257. The reversal of 12252402253 is 35220425221.

12252402253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12252402253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252402257) 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, 2085426 + ... + 2091292.

It is an arithmetic number, because the mean of its divisors is an integer number (481328568).

Almost surely, 212252402253 is an apocalyptic number.

12252402253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12252402253 is a deficient number, since it is larger than the sum of its proper divisors (3150111923).

12252402253 is a wasteful number, since it uses less digits than its factorization.

12252402253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373.

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 12252402253 its reverse (35220425221), we get a palindrome (47472827474).

It can be divided in two parts, 12252 and 402253, that added together give a triangular number (414505 = T910).

The spelling of 12252402253 in words is "twelve billion, two hundred fifty-two million, four hundred two thousand, two hundred fifty-three".

Divisors: 1 7 13 53 91 371 433 689 3031 4823 5629 5867 22949 39403 41069 76271 160643 298337 310951 533897 2088359 2176657 2540411 4042363 17782877 28296541 33025343 134641783 231177401 942492481 1750343179 12252402253