Search a number
-
+
131303121233103 = 3423241660744263
BaseRepresentation
bin11101110110101101100011…
…111001100010010011001111
3122012220110022021111210220000
4131312231203321202103033
5114202232243013424403
61143131453212255343
736441223514344131
oct3566554371422317
9565813267453800
10131303121233103
1138923382964006
1212887511771553
135835aa6200101
14245d1680ab051
15102a76750d7a3
hex776b63e624cf

131303121233103 has 80 divisors (see below), whose sum is σ = 205557188745216. Its totient is φ = 83367597392640.

The previous prime is 131303121233101. The next prime is 131303121233231. The reversal of 131303121233103 is 301332121303131.

131303121233103 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 312 + 12 + 331 + 0 + 3 = 666.

It is not a de Polignac number, because 131303121233103 - 21 = 131303121233101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303121233101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2966408550 + ... + 2966452812.

Almost surely, 2131303121233103 is an apocalyptic number.

131303121233103 is a deficient number, since it is larger than the sum of its proper divisors (74254067512113).

131303121233103 is a wasteful number, since it uses less digits than its factorization.

131303121233103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51146 (or 51137 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131303121233103 its reverse (301332121303131), we get a palindrome (432635242536234).

The spelling of 131303121233103 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred three".

Divisors: 1 3 9 23 27 69 81 207 241 621 723 1863 2169 5543 6507 6607 16629 19521 19821 44263 49887 59463 132789 149661 151961 178389 398367 448983 455883 535167 1018049 1195101 1367649 1592287 3054147 3585303 4102947 4776861 9162441 10667383 12308841 14330583 27487323 32002149 36622601 42991749 82461969 96006447 109867803 128975247 245349809 288019341 292445641 329603409 736049427 864058023 877336923 988810227 2208148281 2632010769 2966430681 6624444843 6726249743 7896032307 19873334529 20178749229 23688096921 60536247687 70479399481 181608743061 211438198443 544826229183 634314595329 1621026188063 1902943785987 4863078564189 5708831357961 14589235692567 43767707077701 131303121233103