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11312313111 = 32112174713001
BaseRepresentation
bin10101000100100010…
…00011001100010111
31002012101010001021200
422202101003030113
5141131423004421
65110302043543
7550221034461
oct124221031427
932171101250
1011312313111
114885562300
1222385795b3
1310b3846ac8
1479456b131
154631d1726
hex2a2443317

11312313111 has 72 divisors (see below), whose sum is σ = 19423115712. Its totient is φ = 6314880000.

The previous prime is 11312313097. The next prime is 11312313143. The reversal of 11312313111 is 11131321311.

11312313111 is a `hidden beast` number, since 11 + 312 + 31 + 311 + 1 = 666.

It is not a de Polignac number, because 11312313111 - 27 = 11312312983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312313151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 863611 + ... + 876611.

It is an arithmetic number, because the mean of its divisors is an integer number (269765496).

Almost surely, 211312313111 is an apocalyptic number.

11312313111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11312313111 is a deficient number, since it is larger than the sum of its proper divisors (8110802601).

11312313111 is a wasteful number, since it uses less digits than its factorization.

11312313111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13093 (or 13079 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11312313111 its reverse (11131321311), we get a palindrome (22443634422).

It can be divided in two parts, 11312 and 313111, that added together give a palindrome (324423).

The spelling of 11312313111 in words is "eleven billion, three hundred twelve million, three hundred thirteen thousand, one hundred eleven".

Divisors: 1 3 9 11 17 33 47 51 99 121 141 153 187 363 423 517 561 799 1089 1551 1683 2057 2397 4653 5687 6171 7191 8789 13001 17061 18513 26367 39003 51183 79101 96679 117009 143011 221017 290037 429033 611047 663051 870111 1287099 1573121 1833141 1989153 2431187 4719363 5499423 6721517 7293561 10387799 14158089 20164551 21880683 26743057 31163397 60493653 73936687 80229171 93490191 114265789 221810061 240687513 342797367 665430183 1028392101 1256923679 3770771037 11312313111