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1300112253 = 3211293712239
BaseRepresentation
bin100110101111110…
…0010001101111101
310100121101112201200
41031133202031331
510130312043003
6333001530113
744134525506
oct11537421575
93317345650
101300112253
11607974640
123034a3939
131794770bb
14c494dbad
15792136a3
hex4d7e237d

1300112253 has 48 divisors (see below), whose sum is σ = 2176761600. Its totient is φ = 740154240.

The previous prime is 1300112227. The next prime is 1300112279. The reversal of 1300112253 is 3522110031.

1300112253 is a `hidden beast` number, since 1 + 300 + 112 + 253 = 666.

It is an interprime number because it is at equal distance from previous prime (1300112227) and next prime (1300112279).

It is not a de Polignac number, because 1300112253 - 26 = 1300112189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300112953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100108 + ... + 112346.

It is an arithmetic number, because the mean of its divisors is an integer number (45349200).

Almost surely, 21300112253 is an apocalyptic number.

It is an amenable number.

1300112253 is a deficient number, since it is larger than the sum of its proper divisors (876649347).

1300112253 is a wasteful number, since it uses less digits than its factorization.

1300112253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1300112253 is about 36057.0693900655. The cubic root of 1300112253 is about 1091.4242955224.

Adding to 1300112253 its reverse (3522110031), we get a palindrome (4822222284).

The spelling of 1300112253 in words is "one billion, three hundred million, one hundred twelve thousand, two hundred fifty-three".

Divisors: 1 3 9 11 29 33 37 87 99 111 261 319 333 407 957 1073 1221 2871 3219 3663 9657 11803 12239 35409 36717 106227 110151 134629 354931 403887 452843 1064793 1211661 1358529 3194379 3904241 4075587 4981273 11712723 13132447 14943819 35138169 39397341 44831457 118192023 144456917 433370751 1300112253