Search a number
-
+
332132131212 = 223723171911041
BaseRepresentation
bin1001101010101001001…
…11100010000110001100
31011202021212012102021220
410311110213202012030
520420201311144322
6412325052123340
732665354351230
oct4652447420614
91152255172256
10332132131212
11118946a25042
1254452466550
1325420b518bb
141210a7dc5c0
15898d59a55c
hex4d549e218c

332132131212 has 48 divisors (see below), whose sum is σ = 924193761792. Its totient is φ = 90769029120.

The previous prime is 332132131207. The next prime is 332132131217. The reversal of 332132131212 is 212131231233.

It is an interprime number because it is at equal distance from previous prime (332132131207) and next prime (332132131217).

It is a super-2 number, since 2×3321321312122 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (332132131217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85953589 + ... + 85957452.

It is an arithmetic number, because the mean of its divisors is an integer number (19254036704).

Almost surely, 2332132131212 is an apocalyptic number.

It is an amenable number.

332132131212 is an abundant number, since it is smaller than the sum of its proper divisors (592061630580).

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

332132131212 is a wasteful number, since it uses less digits than its factorization.

332132131212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171911078 (or 171911076 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 332132131212 its reverse (212131231233), we get a palindrome (544263362445).

It can be divided in two parts, 3321321 and 31212, that added together give a palindrome (3352533).

The spelling of 332132131212 in words is "three hundred thirty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 171911041 343822082 515733123 687644164 1031466246 1203377287 2062932492 2406754574 3610131861 3953953943 4813509148 7220263722 7907907886 11861861829 14440527444 15815815772 23723723658 27677677601 47447447316 55355355202 83033032803 110710710404 166066065606 332132131212