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11200222101201 = 372769990110007
BaseRepresentation
bin1010001011111100000101…
…0000100111111011010001
31110122201201201212021101020
42202333001100213323101
52432001023324214301
635453151102030053
72234121642024600
oct242770120477321
943581651767336
1011200222101201
113628a95429021
12130a817878329
1363323a768153
142aa144d4da37
151465243a1436
hexa2fc1427ed1

11200222101201 has 48 divisors (see below), whose sum is σ = 17397858360960. Its totient is φ = 6390520012800.

The previous prime is 11200222101191. The next prime is 11200222101217. The reversal of 11200222101201 is 10210122200211.

11200222101201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11200222101201 - 27 = 11200222101073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11200222101001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1119233740 + ... + 1119243746.

It is an arithmetic number, because the mean of its divisors is an integer number (362455382520).

Almost surely, 211200222101201 is an apocalyptic number.

It is an amenable number.

11200222101201 is a deficient number, since it is larger than the sum of its proper divisors (6197636259759).

11200222101201 is a wasteful number, since it uses less digits than its factorization.

11200222101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20694 (or 20687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11200222101201 its reverse (10210122200211), we get a palindrome (21410344301412).

It can be divided in two parts, 1120022 and 2101201, that added together give a palindrome (3221223).

The spelling of 11200222101201 in words is "eleven trillion, two hundred billion, two hundred twenty-two million, one hundred one thousand, two hundred one".

Divisors: 1 3 7 21 49 147 769 2307 5383 9901 10007 16149 29703 30021 37681 69307 70049 113043 207921 210147 485149 490343 1455447 1471029 7613869 7695383 22841607 23086149 53297083 53867681 99079307 159891249 161603043 297237921 373079581 377073767 693555149 1119238743 1131221301 2080665447 4854886043 14564658129 76191987083 228575961249 533343909581 1600031728743 3733407367067 11200222101201