Search a number
-
+
2210112111100 = 2252109990120479
BaseRepresentation
bin100000001010010100111…
…100101000000111111100
321211021200111212000002211
4200022110330220013330
5242202302200023400
64411151140430204
7315450431660365
oct40122474500774
97737614760084
102210112111100
1178233773a7a3
122b84020a8364
13130549864c2a
1478d81958b6c
153c7540a7dba
hex20294f281fc

2210112111100 has 72 divisors (see below), whose sum is σ = 4840667955200. Its totient is φ = 875803104000.

The previous prime is 2210112111049. The next prime is 2210112111101. The reversal of 2210112111100 is 11112110122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210112111101) 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, 107910661 + ... + 107931139.

Almost surely, 22210112111100 is an apocalyptic number.

2210112111100 is a gapful number since it is divisible by the number (20) 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 2210112111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420333977600).

2210112111100 is an abundant number, since it is smaller than the sum of its proper divisors (2630555844100).

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

2210112111100 is a wasteful number, since it uses less digits than its factorization.

2210112111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30503 (or 30496 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2210112111100 its reverse (11112110122), we get a palindrome (2221224221222).

The spelling of 2210112111100 in words is "two trillion, two hundred ten billion, one hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 9901 10900 19802 20479 39604 40958 49505 81916 99010 102395 198020 204790 247525 409580 495050 511975 990100 1023950 1079209 2047900 2158418 2232211 4316836 4464422 5396045 8928844 10792090 11161055 21584180 22322110 26980225 44644220 53960450 55805275 107920900 111610550 202762579 223221100 405525158 811050316 1013812895 2027625790 4055251580 5069064475 10138128950 20276257900 22101121111 44202242222 88404484444 110505605555 221011211110 442022422220 552528027775 1105056055550 2210112111100