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10123212132 = 22321125563667
BaseRepresentation
bin10010110110110001…
…11111010101100100
3222010111121110101200
421123120333111210
5131213020242012
64352303322500
7505601611665
oct113330772544
928114543350
1010123212132
114325320120
121b662b0430
13c5439a467
146c067736c
153e3aea3dc
hex25b63f564

10123212132 has 36 divisors (see below), whose sum is σ = 27915525456. Its totient is φ = 3067639920.

The previous prime is 10123212131. The next prime is 10123212137. The reversal of 10123212132 is 23121232101.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (10123212131) 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 11 ways as a sum of consecutive naturals, for example, 12781438 + ... + 12782229.

Almost surely, 210123212132 is an apocalyptic number.

10123212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10123212132 is an abundant number, since it is smaller than the sum of its proper divisors (17792313324).

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

10123212132 is a wasteful number, since it uses less digits than its factorization.

10123212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25563688 (or 25563683 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10123212132 its reverse (23121232101), we get a palindrome (33244444233).

The spelling of 10123212132 in words is "ten billion, one hundred twenty-three million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 25563667 51127334 76691001 102254668 153382002 230073003 281200337 306764004 460146006 562400674 843601011 920292012 1124801348 1687202022 2530803033 3374404044 5061606066 10123212132