Search a number
-
+
112101201212 = 22711135329967
BaseRepresentation
bin110100001100111000…
…0001001010100111100
3101201100112012001120012
41220121300021110330
53314040401414322
6123255405442352
711045654326340
oct1503160112474
9351315161505
10112101201212
11435a6229740
12198865703b8
13a756918730
1455d62a3620
152db17eaae2
hex1a19c0953c

112101201212 has 144 divisors (see below), whose sum is σ = 268489116672. Its totient is φ = 39551466240.

The previous prime is 112101201131. The next prime is 112101201229. The reversal of 112101201212 is 212102101211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11242253 + ... + 11252219.

Almost surely, 2112101201212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112101201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134244558336).

112101201212 is an abundant number, since it is smaller than the sum of its proper divisors (156387915460).

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

112101201212 is a wasteful number, since it uses less digits than its factorization.

112101201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10108 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112101201212 its reverse (212102101211), we get a palindrome (324203302423).

It can be divided in two parts, 112101 and 201212, that added together give a palindrome (313313).

The spelling of 112101201212 in words is "one hundred twelve billion, one hundred one million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 53 77 91 106 143 154 182 212 286 308 364 371 572 583 689 742 1001 1166 1378 1484 2002 2332 2756 2809 4004 4081 4823 5618 7579 8162 9646 9967 11236 15158 16324 19292 19663 19934 30316 30899 36517 39326 39868 53053 61798 69769 73034 78652 106106 109637 123596 129571 139538 146068 212212 216293 219274 255619 259142 279076 401687 432586 438548 511238 518284 528251 767459 803374 865172 906997 1022476 1056502 1425281 1534918 1606748 1813994 2113004 2811809 2850562 3069836 3627988 3697757 5623618 5701124 5810761 6867263 7395514 9976967 11247236 11621522 13734526 14791028 19953934 23243044 27469052 27997303 39907868 40675327 48070841 55994606 75539893 81350654 96141682 111989212 151079786 162701308 192283364 195981121 302159572 307970333 363964939 391962242 528779251 615940666 727929878 783924484 1057558502 1231881332 1455859756 2115117004 2155792331 2547754573 4003614329 4311584662 5095509146 8007228658 8623169324 10191018292 16014457316 28025300303 56050600606 112101201212