Search a number
-
+
13132110102003 = 322516203993703
BaseRepresentation
bin1011111100011000111011…
…0000011111110111110011
31201111102021022222001200100
42333012032300133313303
53210124030141231003
643532450314323443
72523522634055544
oct277061660376763
951442238861610
1013132110102003
114203329887782
121581111129583
13743477a76bc9
1433585184a4cb
1517b8e28aaba3
hexbf18ec1fdf3

13132110102003 has 24 divisors (see below), whose sum is σ = 19044685820160. Its totient is φ = 8719627014000.

The previous prime is 13132110101969. The next prime is 13132110102029. The reversal of 13132110102003 is 30020101123131.

13132110102003 is a `hidden beast` number, since 131 + 321 + 1 + 0 + 10 + 200 + 3 = 666.

It is not a de Polignac number, because 13132110102003 - 225 = 13132076547571 is a prime.

It is a super-2 number, since 2×131321101020032 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13132110102043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140099250 + ... + 140192952.

It is an arithmetic number, because the mean of its divisors is an integer number (793528575840).

Almost surely, 213132110102003 is an apocalyptic number.

13132110102003 is a deficient number, since it is larger than the sum of its proper divisors (5912575718157).

13132110102003 is a wasteful number, since it uses less digits than its factorization.

13132110102003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155999 (or 155996 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13132110102003 its reverse (30020101123131), we get a palindrome (43152211225134).

The spelling of 13132110102003 in words is "thirteen trillion, one hundred thirty-two billion, one hundred ten million, one hundred two thousand, three".

Divisors: 1 3 9 251 753 2259 62039 93703 186117 281109 558351 843327 15571789 23519453 46715367 70558359 140146101 211675077 5813240417 17439721251 52319163753 1459123344667 4377370034001 13132110102003