Search a number
-
+
1123221102221 = 6725182181353
BaseRepresentation
bin10000010110000101001…
…100011101111010001101
310222101020012122222112202
4100112011030131322031
5121400324100232341
62220000050211245
7144102315561011
oct20260514357215
93871205588482
101123221102221
113a33a0036869
12161830583b25
1381bc48cc74a
143c5154ac541
151e33e3d779b
hex1058531de8d

1123221102221 has 16 divisors (see below), whose sum is σ = 1145935522368. Its totient is φ = 1100692560000.

The previous prime is 1123221102217. The next prime is 1123221102233. The reversal of 1123221102221 is 1222011223211.

It is a cyclic number.

It is not a de Polignac number, because 1123221102221 - 22 = 1123221102217 is a prime.

It is a super-2 number, since 2×11232211022212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1123221102193 and 1123221102202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123221102821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13766081 + ... + 13847433.

It is an arithmetic number, because the mean of its divisors is an integer number (71620970148).

Almost surely, 21123221102221 is an apocalyptic number.

It is an amenable number.

1123221102221 is a deficient number, since it is larger than the sum of its proper divisors (22714420147).

1123221102221 is an equidigital number, since it uses as much as digits as its factorization.

1123221102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82492.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1123221102221 its reverse (1222011223211), we get a palindrome (2345232325432).

The spelling of 1123221102221 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 67 251 821 16817 55007 81353 206071 5450651 13806757 20419603 66790813 1368113401 4474984471 16764494063 1123221102221