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1322131332 = 223110177611
BaseRepresentation
bin100111011001110…
…0001111110000100
310102010211020020010
41032303201332010
510201431200312
6335105510220
744522634204
oct11663417604
93363736203
101322131332
11619343925
1230a942370
13180bb6542
14c7842404
157b11293c
hex4ece1f84

1322131332 has 12 divisors (see below), whose sum is σ = 3084973136. Its totient is φ = 440710440.

The previous prime is 1322131331. The next prime is 1322131337. The reversal of 1322131332 is 2331312231.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×13221313323 (a number of 28 digits) contains 333 as substring.

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 = 1322131299 and 1322131308.

It is not an unprimeable number, because it can be changed into a prime (1322131331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55088794 + ... + 55088817.

Almost surely, 21322131332 is an apocalyptic number.

1322131332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1322131332 is an abundant number, since it is smaller than the sum of its proper divisors (1762841804).

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

1322131332 is a wasteful number, since it uses less digits than its factorization.

1322131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110177618 (or 110177616 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1322131332 is about 36361.1239100224. The cubic root of 1322131332 is about 1097.5513942063.

Adding to 1322131332 its reverse (2331312231), we get a palindrome (3653443563).

The spelling of 1322131332 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 110177611 220355222 330532833 440710444 661065666 1322131332