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1041201306145 = 571113638932561
BaseRepresentation
bin11110010011011000110…
…11110001101000100001
310200112112002221122012201
433021230123301220201
5114024340013244040
62114153221253201
7135136640035060
oct17115433615041
93615462848181
101041201306145
11371630aa2030
12149960264201
13772531abc30
14385743a41d7
151c13d945a9a
hexf26c6f1a21

1041201306145 has 64 divisors (see below), whose sum is σ = 1677885995520. Its totient is φ = 599020646400.

The previous prime is 1041201306133. The next prime is 1041201306199. The reversal of 1041201306145 is 5416031021401.

1041201306145 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 1041201306145 - 29 = 1041201305633 is a prime.

It is a super-2 number, since 2×10412013061452 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31960665 + ... + 31993225.

It is an arithmetic number, because the mean of its divisors is an integer number (26216968680).

Almost surely, 21041201306145 is an apocalyptic number.

It is an amenable number.

1041201306145 is a deficient number, since it is larger than the sum of its proper divisors (636684689375).

1041201306145 is a wasteful number, since it uses less digits than its factorization.

1041201306145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38986.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 1041201306145 its reverse (5416031021401), we get a palindrome (6457232327546).

The spelling of 1041201306145 in words is "one trillion, forty-one billion, two hundred one million, three hundred six thousand, one hundred forty-five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 385 455 715 1001 5005 6389 31945 32561 44723 70279 83057 162805 223615 227927 351395 358171 415285 423293 491953 581399 913627 1139635 1790855 2116465 2459765 2507197 2906995 2963051 4568135 4656223 6395389 12535985 14815255 23281115 31976945 32593561 162967805 208032229 1040161145 1456225603 2288354519 2704418977 7281128015 11441772595 13522094885 16018481633 18930932839 29748608747 80092408165 94654664195 148743043735 208240261229 1041201306145