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101333412 = 22322814817
BaseRepresentation
bin1100000101000…
…11100110100100
321001200021022100
412002203212210
5201420132122
614015532100
72340214455
oct602434644
9231607270
10101333412
1152222324
1229b2a030
1317cbc6cb
14d65b12c
158d69aac
hex60a39a4

101333412 has 18 divisors (see below), whose sum is σ = 256148438. Its totient is φ = 33777792.

The previous prime is 101333411. The next prime is 101333459. The reversal of 101333412 is 214333101.

It can be written as a sum of positive squares in only one way, i.e., 63584676 + 37748736 = 7974^2 + 6144^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101333411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1407373 + ... + 1407444.

Almost surely, 2101333412 is an apocalyptic number.

101333412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101333412 is an abundant number, since it is smaller than the sum of its proper divisors (154815026).

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

101333412 is a wasteful number, since it uses less digits than its factorization.

101333412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814827 (or 2814822 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 101333412 is about 10066.4498210640. The cubic root of 101333412 is about 466.2128311215.

Adding to 101333412 its reverse (214333101), we get a palindrome (315666513).

The spelling of 101333412 in words is "one hundred one million, three hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2814817 5629634 8444451 11259268 16888902 25333353 33777804 50666706 101333412