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112033201212 = 223243312123189
BaseRepresentation
bin110100001010110110…
…0101111110000111100
3101201011210020022002200
41220111230233300330
53313420444414322
6123244540151500
711044200332532
oct1502554576074
9351153208080
10112033201212
1143570904299
1219867838590
13a7457ca34a
1455cb242152
152daa8678ac
hex1a15b2fc3c

112033201212 has 72 divisors (see below), whose sum is σ = 289886316720. Its totient is φ = 36462666240.

The previous prime is 112033201211. The next prime is 112033201213. The reversal of 112033201212 is 212102330211.

112033201212 is a `hidden beast` number, since 1 + 120 + 332 + 0 + 1 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (112033201211) and next prime (112033201213).

It is a super-3 number, since 3×1120332012123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112033201211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4819714 + ... + 4842902.

Almost surely, 2112033201212 is an apocalyptic number.

112033201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112033201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144943158360).

112033201212 is an abundant number, since it is smaller than the sum of its proper divisors (177853115508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112033201212 is a wasteful number, since it uses less digits than its factorization.

112033201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26363 (or 26358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112033201212 its reverse (212102330211), we get a palindrome (324135531423).

The spelling of 112033201212 in words is "one hundred twelve billion, thirty-three million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 3121 6242 9363 12484 18726 23189 28089 37452 46378 56178 69567 92756 112356 134203 139134 208701 268406 278268 402609 417402 536812 805218 834804 997127 1207827 1610436 1994254 2415654 2991381 3988508 4831308 5982762 8974143 11965524 17948286 35896572 72372869 144745738 217118607 289491476 434237214 651355821 868474428 1302711642 2605423284 3112033367 6224066734 9336100101 12448133468 18672200202 28008300303 37344400404 56016600606 112033201212