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1311123132 = 2233111103639
BaseRepresentation
bin100111000100110…
…0010011010111100
310101101002221211000
41032021202122330
510141121420012
6334033530300
744330235264
oct11611423274
93341087730
101311123132
11613105240
12307113990
1317b830b07
14c61b87a4
157a18addc
hex4e2626bc

1311123132 has 48 divisors (see below), whose sum is σ = 3708230400. Its totient is φ = 397309680.

The previous prime is 1311123131. The next prime is 1311123137. The reversal of 1311123132 is 2313211131.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311123131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550632 + ... + 553007.

It is an arithmetic number, because the mean of its divisors is an integer number (77254800).

Almost surely, 21311123132 is an apocalyptic number.

1311123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311123132 is an abundant number, since it is smaller than the sum of its proper divisors (2397107268).

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

1311123132 is a wasteful number, since it uses less digits than its factorization.

1311123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103663 (or 1103655 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1311123132 is about 36209.4342954982. The cubic root of 1311123132 is about 1094.4967926183.

Adding to 1311123132 its reverse (2313211131), we get a palindrome (3624334263).

The spelling of 1311123132 in words is "one billion, three hundred eleven million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1103639 2207278 3310917 4414556 6621834 9932751 12140029 13243668 19865502 24280058 29798253 36420087 39731004 48560116 59596506 72840174 109260261 119193012 145680348 218520522 327780783 437041044 655561566 1311123132