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11012325060042 = 23229531093651793
BaseRepresentation
bin1010000001000000000110…
…1110010010110111001010
31102222202201212102121012200
42200100001232102313022
52420411220203410132
635230554200221030
72214420452362065
oct240200156226712
942882655377180
1011012325060042
113566334450a49
12129a31946a776
1361b5c4a1bca7
142a0ddc40b8dc
151416c8738d7c
hexa0401b92dca

11012325060042 has 96 divisors (see below), whose sum is σ = 25379237941200. Its totient is φ = 3445421930496.

The previous prime is 11012325060031. The next prime is 11012325060049. The reversal of 11012325060042 is 24006052321011.

11012325060042 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 3 + 2 + 50 + 600 + 4 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8590532383521 + 2421792676521 = 2930961^2 + 1556211^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11012325059988 and 11012325060015.

It is not an unprimeable number, because it can be changed into a prime (11012325060049) 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 47 ways as a sum of consecutive naturals, for example, 1189698 + ... + 4841490.

Almost surely, 211012325060042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012325060042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689618970600).

11012325060042 is an abundant number, since it is smaller than the sum of its proper divisors (14366912881158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11012325060042 is a wasteful number, since it uses less digits than its factorization.

11012325060042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651992 (or 3651989 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11012325060042 its reverse (24006052321011), we get a palindrome (35018377381053).

The spelling of 11012325060042 in words is "eleven trillion, twelve billion, three hundred twenty-five million, sixty thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 109 159 174 218 261 318 327 477 522 654 954 981 1537 1962 3074 3161 4611 5777 6322 9222 9483 11554 13833 17331 18966 27666 28449 34662 51993 56898 103986 167533 335066 502599 1005198 1507797 3015594 3651793 7303586 10955379 21910758 32866137 65732274 105901997 193545029 211803994 317705991 387090058 398045437 580635087 635411982 796090874 953117973 1161270174 1194136311 1741905261 1906235946 2388272622 3483810522 3582408933 5612805841 7164817866 11225611682 11543317673 16838417523 21096408161 23086635346 33676835046 34629953019 42192816322 50515252569 63289224483 69259906038 101030505138 103889859057 126578448966 189867673449 207779718114 379735346898 611795836669 1223591673338 1835387510007 3670775020014 5506162530021 11012325060042