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10233142414131 = 3713192385775831
BaseRepresentation
bin1001010011101001011011…
…0100011000101100110011
31100020021112021211000111110
42110322112310120230303
52320124433424223011
633433012444044403
72104214544226350
oct224722664305463
940207467730443
1010233142414131
11329594012a51a
121193302833703
13592c9a898120
14275402b33627
1512b2c2d16ba6
hex94e96d18b33

10233142414131 has 64 divisors (see below), whose sum is σ = 18445234913280. Its totient is φ = 4891280929920.

The previous prime is 10233142414069. The next prime is 10233142414189. The reversal of 10233142414131 is 13141424133201.

10233142414131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10233142414131 - 227 = 10233008196403 is a prime.

It is a super-2 number, since 2×102331424141312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10233142414331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42768615 + ... + 43007216.

It is an arithmetic number, because the mean of its divisors is an integer number (288206795520).

Almost surely, 210233142414131 is an apocalyptic number.

10233142414131 is a deficient number, since it is larger than the sum of its proper divisors (8212092499149).

10233142414131 is a wasteful number, since it uses less digits than its factorization.

10233142414131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85775896.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10233142414131 its reverse (13141424133201), we get a palindrome (23374566547332).

The spelling of 10233142414131 in words is "ten trillion, two hundred thirty-three billion, one hundred forty-two million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 7 13 19 21 23 39 57 69 91 133 161 247 273 299 399 437 483 741 897 1311 1729 2093 3059 5187 5681 6279 9177 17043 39767 119301 85775831 257327493 600430817 1115085803 1629740789 1801292451 1972844113 3345257409 4889222367 5918532339 7805600621 11408185523 13809908791 21186630257 23416801863 25646973469 34224556569 37484038147 41429726373 63559890771 76940920407 112452114441 148306411799 179528814283 262388267029 444919235397 487292495911 538586442849 787164801087 1461877487733 3411047471377 10233142414131