Search a number
-
+
11221101120201 = 3724126346118287
BaseRepresentation
bin1010001101001001110110…
…1111110000101011001001
31110201201121211102100000020
42203102131233300223021
52432321303341321301
635510522551531053
72235461226534240
oct243223557605311
943651554370006
1011221101120201
11363692a05a025
121312884089a89
136351b72a166b
142ab165c8d957
15146d473a2436
hexa349dbf0ac9

11221101120201 has 64 divisors (see below), whose sum is σ = 17273385271296. Its totient is φ = 6347026713600.

The previous prime is 11221101120197. The next prime is 11221101120289. The reversal of 11221101120201 is 10202110112211.

It is a happy number.

It is not a de Polignac number, because 11221101120201 - 22 = 11221101120197 is a prime.

It is a super-2 number, since 2×112211011202012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11221101110201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613601680 + ... + 613619966.

It is an arithmetic number, because the mean of its divisors is an integer number (269896644864).

Almost surely, 211221101120201 is an apocalyptic number.

It is an amenable number.

11221101120201 is a deficient number, since it is larger than the sum of its proper divisors (6052284151095).

11221101120201 is a wasteful number, since it uses less digits than its factorization.

11221101120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19262.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11221101120201 its reverse (10202110112211), we get a palindrome (21423211232412).

The spelling of 11221101120201 in words is "eleven trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 7 21 241 263 461 723 789 1383 1687 1841 3227 5061 5523 9681 18287 54861 63383 111101 121243 128009 190149 333303 363729 384027 443681 777707 848701 1331043 2333121 2546103 4407167 4809481 8430307 13221501 14428443 25290921 29219563 30850169 33666367 59012149 87658689 92550507 100999101 177036447 204536941 613610823 1159084921 2031703987 2217170741 3477254763 6095111961 6651512223 8113594447 14221927909 15520195187 24340783341 42665783727 46560585561 534338148581 1603014445743 3740367040067 11221101120201