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63132102 = 23311234621
BaseRepresentation
bin1111000011010…
…1000111000110
311101210102222000
43300311013012
5112130211402
610133050130
71364420415
oct360650706
9141712860
1063132102
11327000a0
1219186946
1310105797
14855547c
155820c1c
hex3c351c6

63132102 has 64 divisors (see below), whose sum is σ = 159736320. Its totient is φ = 18295200.

The previous prime is 63132077. The next prime is 63132103. The reversal of 63132102 is 20123136.

63132102 is a `hidden beast` number, since 631 + 32 + 1 + 0 + 2 = 666.

63132102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11352 + ... + 15972.

It is an arithmetic number, because the mean of its divisors is an integer number (2495880).

Almost surely, 263132102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63132102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79868160).

63132102 is an abundant number, since it is smaller than the sum of its proper divisors (96604218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63132102 is a wasteful number, since it uses less digits than its factorization.

63132102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 63132102 is about 7945.5712192391. The cubic root of 63132102 is about 398.1836437761.

Adding to 63132102 its reverse (20123136), we get a palindrome (83255238).

The spelling of 63132102 in words is "sixty-three million, one hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 4621 6831 9242 13662 13863 27726 41589 50831 83178 101662 106283 124767 152493 212566 249534 304986 318849 457479 637698 914958 956547 1169113 1372437 1913094 2338226 2744874 2869641 3507339 5739282 7014678 10522017 21044034 31566051 63132102