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113203221131 = 72112134731249
BaseRepresentation
bin110100101101101110…
…0000001001010001011
3101211012022211110200202
41221123130001022023
53323320011034011
6124001013522415
711115165334400
oct1513334011213
9354168743622
10113203221131
11440112a3600
1219b3364340b
13a8a1025920
14569c7aa2a7
152e2843023b
hex1a5b70128b

113203221131 has 72 divisors (see below), whose sum is σ = 159201000000. Its totient is φ = 79689899520.

The previous prime is 113203221113. The next prime is 113203221137. The reversal of 113203221131 is 131122302311.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-113203221131 is a prime.

It is a super-2 number, since 2×1132032211312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113203221137) 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 71 ways as a sum of consecutive naturals, for example, 3606995 + ... + 3638243.

It is an arithmetic number, because the mean of its divisors is an integer number (2211125000).

Almost surely, 2113203221131 is an apocalyptic number.

113203221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113203221131 is a deficient number, since it is larger than the sum of its proper divisors (45997778869).

113203221131 is a wasteful number, since it uses less digits than its factorization.

113203221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31345 (or 31327 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113203221131 its reverse (131122302311), we get a palindrome (244325523442).

The spelling of 113203221131 in words is "one hundred thirteen billion, two hundred three million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 13 47 49 77 91 121 143 329 517 539 611 637 847 1001 1573 2303 3619 4277 5687 5929 6721 7007 11011 25333 29939 31249 39809 47047 73931 77077 218743 278663 329329 343739 406237 517517 1468703 1531201 2406173 2843659 3622619 3781129 4468607 10280921 16155733 16843211 19093139 19905613 26467903 31280249 49154677 71966447 113090131 133651973 177713063 185275321 210024529 218961743 344082739 791630917 935563811 1243991441 1470171703 2310269819 2408579173 8707940087 10291201921 16171888733 113203221131