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112100011221 = 31137677135613
BaseRepresentation
bin110100001100110101…
…1100110110011010101
3101201100102221121012110
41220121223212303111
53314040100324341
6123255324141233
711045641242102
oct1503153466325
9351312847173
10112100011221
11435a5596680
1219886097819
13a7565bcbb3
1455d6073aa9
152db1663216
hex1a19ae6cd5

112100011221 has 32 divisors (see below), whose sum is σ = 167710036608. Its totient is φ = 66005072640.

The previous prime is 112100011217. The next prime is 112100011223. The reversal of 112100011221 is 122110001211.

It is not a de Polignac number, because 112100011221 - 22 = 112100011217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112100011197 and 112100011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100011223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758811 + ... + 894423.

It is an arithmetic number, because the mean of its divisors is an integer number (5240938644).

Almost surely, 2112100011221 is an apocalyptic number.

112100011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112100011221 is a deficient number, since it is larger than the sum of its proper divisors (55610025387).

112100011221 is a wasteful number, since it uses less digits than its factorization.

112100011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136341.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112100011221 its reverse (122110001211), we get a palindrome (234210012432).

The spelling of 112100011221 in words is "one hundred twelve billion, one hundred million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 677 1221 2031 7447 22341 25049 75147 135613 275539 406839 826617 1491743 4475229 5017681 15053043 55194491 91810001 165583473 275430003 1009910011 3029730033 3396970037 10190910111 37366670407 112100011221