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11555312131 = 111732973101
BaseRepresentation
bin10101100001100000…
…00001001000000011
31002211022100200021101
422300300001020003
5142131124442011
65150342235231
7556231350436
oct126060011003
932738320241
1011555312131
11499a744040
1222a5a25b17
131121ca79cc
147b894381d
154796d12c1
hex2b0c01203

11555312131 has 64 divisors (see below), whose sum is σ = 14184201600. Its totient is φ = 9321984000.

The previous prime is 11555312129. The next prime is 11555312143. The reversal of 11555312131 is 13121355511.

It is not a de Polignac number, because 11555312131 - 21 = 11555312129 is a prime.

It is a super-2 number, since 2×115553121312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11555312131.

It is not an unprimeable number, because it can be changed into a prime (11555312161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114408981 + ... + 114409081.

It is an arithmetic number, because the mean of its divisors is an integer number (221628150).

Almost surely, 211555312131 is an apocalyptic number.

11555312131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11555312131 is a deficient number, since it is larger than the sum of its proper divisors (2628889469).

11555312131 is a wasteful number, since it uses less digits than its factorization.

11555312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 231 counting only the distinct ones).

The product of its digits is 2250, while the sum is 28.

Adding to 11555312131 its reverse (13121355511), we get a palindrome (24676667642).

The spelling of 11555312131 in words is "eleven billion, five hundred fifty-five million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 11 17 29 73 101 187 289 319 493 803 1111 1241 1717 2117 2929 3179 4913 5423 7373 8381 13651 18887 21097 23287 29189 32219 35989 49793 54043 81103 92191 125341 142477 213817 232067 321079 358649 395879 496213 547723 611813 846481 1378751 1567247 2130797 2351987 3634889 3945139 5458343 6729943 9311291 10400821 14390177 23438767 36223549 39983779 61793113 114409031 158291947 398459039 679724243 1050482921 11555312131