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111312113231 = 112341101181587
BaseRepresentation
bin110011110101010111…
…0000000111001001111
3101122022112101020100102
41213222232000321033
53310431400110411
6123045220521315
711020263231314
oct1475256007117
9348275336312
10111312113231
1143230871210
12196a625023b
13a65c2b6577
14555d578d0b
152d673cbd3b
hex19eab80e4f

111312113231 has 64 divisors (see below), whose sum is σ = 132035484672. Its totient is φ = 92822400000.

The previous prime is 111312113219. The next prime is 111312113243. The reversal of 111312113231 is 132311213111.

It is an interprime number because it is at equal distance from previous prime (111312113219) and next prime (111312113243).

It is a de Polignac number, because none of the positive numbers 2k-111312113231 is a prime.

It is a super-2 number, since 2×1113121132312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111312113251) 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, 189628520 + ... + 189629106.

It is an arithmetic number, because the mean of its divisors is an integer number (2063054448).

Almost surely, 2111312113231 is an apocalyptic number.

111312113231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111312113231 is a deficient number, since it is larger than the sum of its proper divisors (20723371441).

111312113231 is a wasteful number, since it uses less digits than its factorization.

111312113231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944.

The product of its digits is 108, while the sum is 20.

Adding to 111312113231 its reverse (132311213111), we get a palindrome (243623326342).

The spelling of 111312113231 in words is "one hundred eleven billion, three hundred twelve million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 11 23 41 101 181 253 451 587 943 1111 1991 2323 4141 4163 6457 7421 10373 13501 18281 24067 25553 45551 45793 59287 81631 95243 106247 148511 170683 201091 264737 420463 553541 652157 749521 1047673 1168717 1363601 1877513 2430767 2443681 4356127 4625093 6088951 8244731 10730947 14999611 17238983 26738437 26880491 47917397 55907641 100190921 118040417 189628813 246811781 439968827 614984051 1102100131 2714929591 4839657097 10119283021 111312113231