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1331132112 = 243229173169
BaseRepresentation
bin100111101010111…
…0111011011010000
310102202202111222100
41033111313123100
510211232211422
6340030440400
744662302432
oct11725673320
93382674870
101331132112
11623431292
12311963100
13182a1834b
14c8b06652
157bcde7ac
hex4f5776d0

1331132112 has 60 divisors (see below), whose sum is σ = 3727774180. Its totient is φ = 443418624.

The previous prime is 1331132093. The next prime is 1331132119. The reversal of 1331132112 is 2112311331.

1331132112 is a `hidden beast` number, since 1 + 331 + 1 + 321 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1259966016 + 71166096 = 35496^2 + 8436^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331132119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418464 + ... + 421632.

Almost surely, 21331132112 is an apocalyptic number.

1331132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331132112 is an abundant number, since it is smaller than the sum of its proper divisors (2396642068).

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

1331132112 is a wasteful number, since it uses less digits than its factorization.

1331132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 6091 counting only the distinct ones).

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

The square root of 1331132112 is about 36484.6832520169. The cubic root of 1331132112 is about 1100.0363932863.

Adding to 1331132112 its reverse (2112311331), we get a palindrome (3443443443).

The spelling of 1331132112 in words is "one billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2917 3169 5834 6338 8751 9507 11668 12676 17502 19014 23336 25352 26253 28521 35004 38028 46672 50704 52506 57042 70008 76056 105012 114084 140016 152112 210024 228168 420048 456336 9243973 18487946 27731919 36975892 55463838 73951784 83195757 110927676 147903568 166391514 221855352 332783028 443710704 665566056 1331132112