Search a number
-
+
1221331122 = 23511228457
BaseRepresentation
bin100100011001100…
…0000100010110010
310011010011001100000
41020303000202302
510000130043442
6321105210430
742160100064
oct11063004262
93133131300
101221331122
11577456170
122a1030a16
1316605274b
14b82c3734
1572350d4c
hex48cc08b2

1221331122 has 48 divisors (see below), whose sum is σ = 2993713632. Its totient is φ = 370098720.

The previous prime is 1221331117. The next prime is 1221331219. The reversal of 1221331122 is 2211331221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1221331095 and 1221331104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108883 + ... + 119574.

It is an arithmetic number, because the mean of its divisors is an integer number (62369034).

Almost surely, 21221331122 is an apocalyptic number.

1221331122 is an abundant number, since it is smaller than the sum of its proper divisors (1772382510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1221331122 is a wasteful number, since it uses less digits than its factorization.

1221331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228485 (or 228473 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1221331122 is about 34947.5481543412. The cubic root of 1221331122 is about 1068.9182073200.

Adding to 1221331122 its reverse (2211331221), we get a palindrome (3432662343).

Subtracting 1221331122 from its reverse (2211331221), we obtain a palindrome (990000099).

The spelling of 1221331122 in words is "one billion, two hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 5346 228457 456914 685371 1370742 2056113 2513027 4112226 5026054 6168339 7539081 12336678 15078162 18505017 22617243 37010034 45234486 55515051 67851729 111030102 135703458 203555187 407110374 610665561 1221331122