Search a number
-
+
1112122201100 = 2252731371112011
BaseRepresentation
bin10000001011101111101…
…001100001010000001100
310221022120201010101110212
4100023233221201100030
5121210111240413400
62210522450221552
7143230265510501
oct20135751412014
93838521111425
101112122201100
11399714a98109
1215b6535848b8
1380b46357831
143bb814154a8
151ddded0e335
hex102efa6140c

1112122201100 has 72 divisors (see below), whose sum is σ = 2464223040048. Its totient is φ = 435552076800.

The previous prime is 1112122201061. The next prime is 1112122201109. The reversal of 1112122201100 is 11022212111.

It is not an unprimeable number, because it can be changed into a prime (1112122201109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444095 + ... + 1556105.

Almost surely, 21112122201100 is an apocalyptic number.

1112122201100 is a gapful number since it is divisible by the number (10) 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 1112122201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232111520024).

1112122201100 is an abundant number, since it is smaller than the sum of its proper divisors (1352100838948).

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

1112122201100 is a wasteful number, since it uses less digits than its factorization.

1112122201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112235 (or 1112228 counting only the distinct ones).

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

Adding to 1112122201100 its reverse (11022212111), we get a palindrome (1123144413211).

The spelling of 1112122201100 in words is "one trillion, one hundred twelve billion, one hundred twenty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 137 146 274 292 365 548 685 730 1370 1460 1825 2740 3425 3650 6850 7300 10001 13700 20002 40004 50005 100010 200020 250025 500050 1000100 1112011 2224022 4448044 5560055 11120110 22240220 27800275 55600550 81176803 111201100 152345507 162353606 304691014 324707212 405884015 609382028 761727535 811768030 1523455070 1623536060 2029420075 3046910140 3808637675 4058840150 7617275350 8117680300 11121222011 15234550700 22242444022 44484888044 55606110055 111212220110 222424440220 278030550275 556061100550 1112122201100