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10221747146 = 2134112775503
BaseRepresentation
bin10011000010100001…
…10111101111001010
3222101101000120000122
421201100313233022
5131413231402041
64410143303242
7511206263042
oct114120675712
928341016018
1010221747146
114375a00a16
121b932aab22
13c6b91a1c0
146cd7a6722
153ec5b0c4b
hex261437bca

10221747146 has 32 divisors (see below), whose sum is σ = 17048199168. Its totient is φ = 4566360960.

The previous prime is 10221747143. The next prime is 10221747161. The reversal of 10221747146 is 64174712201.

10221747146 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 2×102217471462 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221747143) 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, 97631 + ... + 173133.

It is an arithmetic number, because the mean of its divisors is an integer number (532756224).

Almost surely, 210221747146 is an apocalyptic number.

10221747146 is a deficient number, since it is larger than the sum of its proper divisors (6826452022).

10221747146 is a wasteful number, since it uses less digits than its factorization.

10221747146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75686.

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 10221747146 in words is "ten billion, two hundred twenty-one million, seven hundred forty-seven thousand, one hundred forty-six".

Divisors: 1 2 13 26 41 82 127 254 533 1066 1651 3302 5207 10414 67691 75503 135382 151006 981539 1963078 3095623 6191246 9588881 19177762 40243099 80486198 124655453 249310906 393144121 786288242 5110873573 10221747146