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1142132301 = 321720173701
BaseRepresentation
bin100010000010011…
…1000111001001101
32221121010022222100
41010010320321031
54314341213201
6305155505313
740205651532
oct10404707115
92847108870
101142132301
115367819a2
1227a5b8239
13152812c3b
14ab988d89
156a409886
hex44138e4d

1142132301 has 24 divisors (see below), whose sum is σ = 1748128824. Its totient is φ = 716083200.

The previous prime is 1142132279. The next prime is 1142132311. The reversal of 1142132301 is 1032312411.

1142132301 is a `hidden beast` number, since 11 + 421 + 3 + 230 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 454329225 + 687803076 = 21315^2 + 26226^2 .

It is not a de Polignac number, because 1142132301 - 29 = 1142131789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142132311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306751 + ... + 310451.

It is an arithmetic number, because the mean of its divisors is an integer number (72838701).

Almost surely, 21142132301 is an apocalyptic number.

It is an amenable number.

1142132301 is a deficient number, since it is larger than the sum of its proper divisors (605996523).

1142132301 is a wasteful number, since it uses less digits than its factorization.

1142132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1142132301 is about 33795.4479331167. The cubic root of 1142132301 is about 1045.2948355746.

Adding to 1142132301 its reverse (1032312411), we get a palindrome (2174444712).

The spelling of 1142132301 in words is "one billion, one hundred forty-two million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 3 9 17 51 153 2017 3701 6051 11103 18153 33309 34289 62917 102867 188751 308601 566253 7464917 22394751 67184253 126903589 380710767 1142132301