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112123111311 = 32471512816247
BaseRepresentation
bin110100001101100001…
…1101110011110001111
3101201102001102012120100
41220123003232132033
53314112004030221
6123301511222143
711046341502231
oct1503303563617
9351361365510
10112123111311
1143607634062
1219891977953
13a75b31a3a3
1455d9168251
152db36c7926
hex1a1b0ee78f

112123111311 has 48 divisors (see below), whose sum is σ = 167116105728. Its totient is φ = 72403632000.

The previous prime is 112123111279. The next prime is 112123111313. The reversal of 112123111311 is 113111321211.

112123111311 is a `hidden beast` number, since 1 + 121 + 231 + 1 + 1 + 311 = 666.

It is not a de Polignac number, because 112123111311 - 25 = 112123111279 is a prime.

It is a super-2 number, since 2×1121231113112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112123111313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17945190 + ... + 17951436.

It is an arithmetic number, because the mean of its divisors is an integer number (3481585536).

Almost surely, 2112123111311 is an apocalyptic number.

112123111311 is a deficient number, since it is larger than the sum of its proper divisors (54992994417).

112123111311 is a wasteful number, since it uses less digits than its factorization.

112123111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6729 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 112123111311 its reverse (113111321211), we get a palindrome (225234432522).

The spelling of 112123111311 in words is "one hundred twelve billion, one hundred twenty-three million, one hundred eleven thousand, three hundred eleven".

Divisors: 1 3 9 47 141 151 281 423 453 843 1359 2529 6247 7097 13207 18741 21291 39621 42431 56223 63873 118863 127293 293609 381879 880827 943297 1755407 1994257 2642481 2829891 5266221 5982771 8489673 15798663 17948313 44334959 82504129 133004877 247512387 265066457 399014631 742537161 795199371 2385598113 12458123479 37374370437 112123111311