Search a number
-
+
221111221221 = 32114217736863
BaseRepresentation
bin1100110111101101000…
…0010111101111100101
3210010201121202211200200
43031323100113233211
512110313433034341
6245324352501113
721655225240632
oct3157320275745
9703647684620
10221111221221
118585557a170
1236a2984a799
1317b09ca6157
14a9b7bc7189
155b41a40db6
hex337b417be5

221111221221 has 48 divisors (see below), whose sum is σ = 349748036352. Its totient is φ = 133496092800.

The previous prime is 221111221213. The next prime is 221111221231. The reversal of 221111221221 is 122122111122.

221111221221 is a `hidden beast` number, since 2 + 211 + 11 + 221 + 221 = 666.

It is not a de Polignac number, because 221111221221 - 23 = 221111221213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221111221194 and 221111221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221111221231) 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 47 ways as a sum of consecutive naturals, for example, 32214436 + ... + 32221298.

It is an arithmetic number, because the mean of its divisors is an integer number (7286417424).

Almost surely, 2221111221221 is an apocalyptic number.

It is an amenable number.

221111221221 is a deficient number, since it is larger than the sum of its proper divisors (128636815131).

221111221221 is a wasteful number, since it uses less digits than its factorization.

221111221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8074 (or 8071 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 221111221221 its reverse (122122111122), we get a palindrome (343233332343).

It can be divided in two parts, 22111122 and 1221, that multiplied together give a palindrome (26997679962).

The spelling of 221111221221 in words is "two hundred twenty-one billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 421 773 1263 2319 3789 4631 6863 6957 8503 13893 20589 25509 41679 61767 75493 76527 226479 325433 679437 976299 2889323 2928897 3579763 5305099 8667969 10739289 15915297 26003907 31782553 32217867 47745891 58356089 95347659 175068267 286042977 525204801 2233446679 6700340037 20101020111 24567913469 73703740407 221111221221