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12002110038 = 234193899321
BaseRepresentation
bin10110010110110000…
…11010101001010110
31010222110002100210000
423023120122221112
5144040020010123
65302542512130
7603265152312
oct131330325126
933873070700
1012002110038
1150a9972a06
1223ab595646
131193723079
1481c00ab42
154a3a3ab43
hex2cb61aa56

12002110038 has 40 divisors (see below), whose sum is σ = 28309077720. Its totient is φ = 3790139040.

The previous prime is 12002109979. The next prime is 12002110039. The reversal of 12002110038 is 83001120021.

12002110038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120021100382 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12002110038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002110039) 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 19 ways as a sum of consecutive naturals, for example, 1946583 + ... + 1952738.

It is an arithmetic number, because the mean of its divisors is an integer number (707726943).

Almost surely, 212002110038 is an apocalyptic number.

12002110038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12002110038 is an abundant number, since it is smaller than the sum of its proper divisors (16306967682).

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

12002110038 is a wasteful number, since it uses less digits than its factorization.

12002110038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899354 (or 3899345 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12002110038 its reverse (83001120021), we get a palindrome (95003230059).

The spelling of 12002110038 in words is "twelve billion, two million, one hundred ten thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 3899321 7798642 11697963 23395926 35093889 70187778 74087099 105281667 148174198 210563334 222261297 315845001 444522594 631690002 666783891 1333567782 2000351673 4000703346 6001055019 12002110038