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1040513445101 = 13297397389773
BaseRepresentation
bin11110010010000110110…
…11110010110011101101
310200110202011121200020202
433021003123302303231
5114021432420220401
62114001050123245
7135113615232224
oct17110333626355
93613664550222
101040513445101
11371308793929
121497a9a20525
137717382cb70
143850aca9cbb
151c0ed37006b
hexf2436f2ced

1040513445101 has 32 divisors (see below), whose sum is σ = 1187189240160. Its totient is φ = 905218965504.

The previous prime is 1040513445053. The next prime is 1040513445107. The reversal of 1040513445101 is 1015443150401.

It can be written as a sum of positive squares in 16 ways, for example, as 374453429476 + 666060015625 = 611926^2 + 816125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1040513445101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040513445107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2474651 + ... + 2864423.

It is an arithmetic number, because the mean of its divisors is an integer number (37099663755).

Almost surely, 21040513445101 is an apocalyptic number.

It is an amenable number.

1040513445101 is a deficient number, since it is larger than the sum of its proper divisors (146675795059).

1040513445101 is a wasteful number, since it uses less digits than its factorization.

1040513445101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389985.

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 1040513445101 its reverse (1015443150401), we get a palindrome (2055956595502).

The spelling of 1040513445101 in words is "one trillion, forty billion, five hundred thirteen million, four hundred forty-five thousand, one hundred one".

Divisors: 1 13 29 73 97 377 949 1261 2117 2813 7081 27521 36569 92053 205349 389773 2669537 5067049 11303417 28453429 37807981 146944421 369894577 491503753 825149441 1096431449 2759982613 10726942733 14253608837 35879773969 80039495777 1040513445101