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63138231 = 33132101137
BaseRepresentation
bin1111000011011…
…0100110110111
311101210202101000
43300312212313
5112130410411
610133134343
71364444322
oct360664667
9141722330
1063138231
1132704762
121918a3b3
1310108500
1485577b9
155822956
hex3c369b7

63138231 has 48 divisors (see below), whose sum is σ = 103036320. Its totient is φ = 38188800.

The previous prime is 63138223. The next prime is 63138247. The reversal of 63138231 is 13283136.

It is a happy number.

63138231 is a `hidden beast` number, since 631 + 3 + 8 + 23 + 1 = 666.

It is not a de Polignac number, because 63138231 - 23 = 63138223 is a prime.

It is a super-2 number, since 2×631382312 = 7972872427618722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 63138195 and 63138204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63138281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460795 + ... + 460931.

It is an arithmetic number, because the mean of its divisors is an integer number (2146590).

Almost surely, 263138231 is an apocalyptic number.

63138231 is a deficient number, since it is larger than the sum of its proper divisors (39898089).

63138231 is a wasteful number, since it uses less digits than its factorization.

63138231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 63138231 is about 7945.9568964348. The cubic root of 63138231 is about 398.1965288668.

The spelling of 63138231 in words is "sixty-three million, one hundred thirty-eight thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 101 117 137 169 303 351 411 507 909 1233 1313 1521 1781 2727 3699 3939 4563 5343 11817 13837 16029 17069 23153 35451 41511 48087 51207 69459 124533 153621 179881 208377 373599 460863 539643 625131 1618929 2338453 4856787 7015359 21046077 63138231