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10041244032132 = 2233234042368773
BaseRepresentation
bin1001001000011110100011…
…0010001001110010000100
31022112221012120011011121000
42102013220302021302010
52304003431433012012
633204514523453300
72054312250004035
oct222075062116204
938487176134530
1010041244032132
113221516532895
121162088387230
1357ab67b7b171
14269ddaa0ca8c
151262e0c61ddc
hex921e8c89c84

10041244032132 has 48 divisors (see below), whose sum is σ = 27164718161280. Its totient is φ = 3201556067424.

The previous prime is 10041244032073. The next prime is 10041244032137. The reversal of 10041244032132 is 23123044214001.

10041244032132 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 2 + 440 + 3 + 213 + 2 = 666.

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 = 10041244032096 and 10041244032105.

It is not an unprimeable number, because it can be changed into a prime (10041244032137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2021181903 + ... + 2021186870.

It is an arithmetic number, because the mean of its divisors is an integer number (565931628360).

Almost surely, 210041244032132 is an apocalyptic number.

10041244032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10041244032132 is an abundant number, since it is smaller than the sum of its proper divisors (17123474129148).

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

10041244032132 is a wasteful number, since it uses less digits than its factorization.

10041244032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042368809 (or 4042368801 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10041244032132 its reverse (23123044214001), we get a palindrome (33164288246133).

The spelling of 10041244032132 in words is "ten trillion, forty-one billion, two hundred forty-four million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 4042368773 8084737546 12127106319 16169475092 24254212638 36381318957 48508425276 72762637914 92974481779 109143956871 145525275828 185948963558 218287913742 278923445337 371897927116 436575827484 557846890674 836770336011 1115693781348 1673540672022 2510311008033 3347081344044 5020622016066 10041244032132