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1012444200131 = 713192113272737
BaseRepresentation
bin11101011101110100110…
…00000111110011000011
310120210021222101021212012
432232322120013303003
5113041441203401011
62053035504523135
7133101211464620
oct16567230076303
93523258337765
101012444200131
113604143a1711
121442756204ab
137461c479180
1437007053347
151b508ecba8b
hexebba607cc3

1012444200131 has 48 divisors (see below), whose sum is σ = 1326763456704. Its totient is φ = 752175341568.

The previous prime is 1012444200109. The next prime is 1012444200133. The reversal of 1012444200131 is 1310024442101.

It is not a de Polignac number, because 1012444200131 - 26 = 1012444200067 is a prime.

It is a super-2 number, since 2×10124442001312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012444200097 and 1012444200106.

It is not an unprimeable number, because it can be changed into a prime (1012444200133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3575795 + ... + 3848531.

It is an arithmetic number, because the mean of its divisors is an integer number (27640905348).

Almost surely, 21012444200131 is an apocalyptic number.

1012444200131 is a deficient number, since it is larger than the sum of its proper divisors (314319256573).

1012444200131 is a wasteful number, since it uses less digits than its factorization.

1012444200131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272908 (or 272889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1012444200131 its reverse (1310024442101), we get a palindrome (2322468642232).

The spelling of 1012444200131 in words is "one trillion, twelve billion, four hundred forty-four million, two hundred thousand, one hundred thirty-one".

Divisors: 1 7 13 19 91 113 133 247 361 791 1469 1729 2147 2527 4693 10283 15029 27911 32851 40793 195377 272737 285551 530309 1909159 3545581 3712163 5182003 24819067 30819281 36274021 67366039 98458057 215734967 400650653 471562273 585566339 689206399 1279954741 2804554571 4098964373 7612362407 8959683187 11125760441 53286536849 77880323087 144634885733 1012444200131