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1252105217 = 11225141227
BaseRepresentation
bin100101010100001…
…1001110000000001
310020021001112110022
41022220121300001
510031014331332
6324124543225
743012501346
oct11250316001
93207045408
101252105217
11592865200
122ab3b1b15
1316c538b7c
14bc4147cd
1574dce212
hex4aa19c01

1252105217 has 12 divisors (see below), whose sum is σ = 1381797648. Its totient is φ = 1133715000.

The previous prime is 1252105193. The next prime is 1252105219. The reversal of 1252105217 is 7125012521.

It is not a de Polignac number, because 1252105217 - 210 = 1252104193 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1252105219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9758 + ... + 50984.

It is an arithmetic number, because the mean of its divisors is an integer number (115149804).

Almost surely, 21252105217 is an apocalyptic number.

It is an amenable number.

1252105217 is a deficient number, since it is larger than the sum of its proper divisors (129692431).

1252105217 is a wasteful number, since it uses less digits than its factorization.

1252105217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41500 (or 41489 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 1252105217 is about 35385.0987987882. The cubic root of 1252105217 is about 1077.8217461753.

Adding to 1252105217 its reverse (7125012521), we get a palindrome (8377117738).

The spelling of 1252105217 in words is "one billion, two hundred fifty-two million, one hundred five thousand, two hundred seventeen".

Divisors: 1 11 121 251 2761 30371 41227 453497 4988467 10347977 113827747 1252105217