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10212132 = 2237611993
BaseRepresentation
bin100110111101…
…001100100100
3201012211102010
4212331030210
510103242012
61002514220
7152541660
oct46751444
921184363
1010212132
115845587
123505970
1321672a8
1414db8a0
15d6ac3c
hex9bd324

10212132 has 48 divisors (see below), whose sum is σ = 27692672. Its totient is φ = 2868480.

The previous prime is 10212131. The next prime is 10212151. The reversal of 10212132 is 23121201.

Adding to 10212132 its reverse (23121201), we get a palindrome (33333333).

10212132 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is not an unprimeable number, because it can be changed into a prime (10212131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4128 + ... + 6120.

Almost surely, 210212132 is an apocalyptic number.

10212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846336).

10212132 is an abundant number, since it is smaller than the sum of its proper divisors (17480540).

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

10212132 is a wasteful number, since it uses less digits than its factorization.

10212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10212132 is about 3195.6426583709. The cubic root of 10212132 is about 216.9562371488.

The spelling of 10212132 in words is "ten million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 1993 2562 3986 5124 5979 7972 11958 13951 23916 27902 41853 55804 83706 121573 167412 243146 364719 486292 729438 851011 1458876 1702022 2553033 3404044 5106066 10212132