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1123211332221 = 311293731721069
BaseRepresentation
bin10000010110000100100…
…111001100101001111101
310222101012112021121121220
4100112010213030221331
5121400314100112341
62215555100543553
7144102136540026
oct20260447145175
93871175247556
101123211332221
113a3395573490
12161829251bb9
1381bc288b794
143c514087c4d
151e33d607a66
hex105849cca7d

1123211332221 has 32 divisors (see below), whose sum is σ = 1735776950400. Its totient is φ = 639496730880.

The previous prime is 1123211332211. The next prime is 1123211332259. The reversal of 1123211332221 is 1222331123211.

It is not a de Polignac number, because 1123211332221 - 29 = 1123211331709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1123211332191 and 1123211332200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123211332211) 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 31 ways as a sum of consecutive naturals, for example, 15825126 + ... + 15895943.

It is an arithmetic number, because the mean of its divisors is an integer number (54243029700).

Almost surely, 21123211332221 is an apocalyptic number.

1123211332221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1123211332221 is a deficient number, since it is larger than the sum of its proper divisors (612565618179).

1123211332221 is a wasteful number, since it uses less digits than its factorization.

1123211332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31721149.

The product of its digits is 864, while the sum is 24.

Adding to 1123211332221 its reverse (1222331123211), we get a palindrome (2345542455432).

The spelling of 1123211332221 in words is "one trillion, one hundred twenty-three billion, two hundred eleven million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 29 33 37 87 111 319 407 957 1073 1221 3219 11803 35409 31721069 95163207 348931759 919911001 1046795277 1173679553 2759733003 3521038659 10119021011 12910475083 30357063033 34036707037 38731425249 102110121111 374403777407 1123211332221