Search a number
-
+
10020132213 = 3713271913499
BaseRepresentation
bin10010101010011111…
…10001010101110101
3221212022122110022220
421111033301111311
5131010123212323
64334142112553
7503210501310
oct112517612565
927768573286
1010020132213
114282115703
121b3787b759
13c38c18b20
146b0ac3977
153d9a380e3
hex2553f1575

10020132213 has 32 divisors (see below), whose sum is σ = 16450560000. Its totient is φ = 5283009216.

The previous prime is 10020132203. The next prime is 10020132257. The reversal of 10020132213 is 31223102001.

It is not a de Polignac number, because 10020132213 - 26 = 10020132149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10020132192 and 10020132201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020132203) 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 31 ways as a sum of consecutive naturals, for example, 735538 + ... + 749036.

It is an arithmetic number, because the mean of its divisors is an integer number (514080000).

Almost surely, 210020132213 is an apocalyptic number.

10020132213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10020132213 is a deficient number, since it is larger than the sum of its proper divisors (6430427787).

10020132213 is a wasteful number, since it uses less digits than its factorization.

10020132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16241.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10020132213 its reverse (31223102001), we get a palindrome (41243234214).

The spelling of 10020132213 in words is "ten billion, twenty million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 7 13 21 39 91 273 2719 8157 13499 19033 35347 40497 57099 94493 106041 175487 247429 283479 526461 742287 1228409 3685227 36703781 110111343 256926467 477149153 770779401 1431447459 3340044071 10020132213