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10042120005 = 353121595957
BaseRepresentation
bin10010101101000111…
…01001011101000101
3221220212000112220120
421112203221131011
5131031240320010
64340245252153
7503565416541
oct112643513505
927825015816
1010042120005
114293573435
121b43104059
13c40646c58
146b39a8a21
153db92ce70
hex2568e9745

10042120005 has 16 divisors (see below), whose sum is σ = 16585695744. Its totient is φ = 5183029440.

The previous prime is 10042120003. The next prime is 10042120007. The reversal of 10042120005 is 50002124001.

10042120005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10042120003) and next prime (10042120007).

It is not a de Polignac number, because 10042120005 - 21 = 10042120003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042120003) 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, 10797514 + ... + 10798443.

It is an arithmetic number, because the mean of its divisors is an integer number (1036605984).

Almost surely, 210042120005 is an apocalyptic number.

10042120005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10042120005 is a deficient number, since it is larger than the sum of its proper divisors (6543575739).

10042120005 is a wasteful number, since it uses less digits than its factorization.

10042120005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21595996.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10042120005 its reverse (50002124001), we get a palindrome (60044244006).

The spelling of 10042120005 in words is "ten billion, forty-two million, one hundred twenty thousand, five".

Divisors: 1 3 5 15 31 93 155 465 21595957 64787871 107979785 323939355 669474667 2008424001 3347373335 10042120005