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132141133233 = 3215793518141
BaseRepresentation
bin111101100010000111…
…0011010110110110001
3110122002010212002020200
41323010032122312301
54131111112230413
6140412123025413
712355403046204
oct1730416326661
9418063762220
10132141133233
115104a25222a
122173996b269
13c5cb664c85
1465779c193b
153685d03573
hex1ec439adb1

132141133233 has 12 divisors (see below), whose sum is σ = 192086263668. Its totient is φ = 87532979040.

The previous prime is 132141133199. The next prime is 132141133259. The reversal of 132141133233 is 332331141231.

132141133233 is a `hidden beast` number, since 1 + 321 + 4 + 1 + 1 + 332 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94327608384 + 37813524849 = 307128^2 + 194457^2 .

It is not a de Polignac number, because 132141133233 - 212 = 132141129137 is a prime.

It is a super-2 number, since 2×1321411332332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132141133197 and 132141133206.

It is not an unprimeable number, because it can be changed into a prime (132141153233) 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, 46757658 + ... + 46760483.

It is an arithmetic number, because the mean of its divisors is an integer number (16007188639).

Almost surely, 2132141133233 is an apocalyptic number.

It is an amenable number.

132141133233 is a deficient number, since it is larger than the sum of its proper divisors (59945130435).

132141133233 is a wasteful number, since it uses less digits than its factorization.

132141133233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93518304 (or 93518301 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 132141133233 its reverse (332331141231), we get a palindrome (464472274464).

The spelling of 132141133233 in words is "one hundred thirty-two billion, one hundred forty-one million, one hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 157 471 1413 93518141 280554423 841663269 14682348137 44047044411 132141133233