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210132333220023 = 3347240719687893
BaseRepresentation
bin101111110001110100111111…
…000100111101000010110111
31000120000110021121011102012000
4233301310333010331002313
5210020302004301020043
62022525243342430343
762155363051540164
oct5761647704750267
91016013247142160
10210132333220023
1160a55692a67205
121b6990792923b3
1390335177c5896
1439c666005706b
151946056aca2d3
hexbf1d3f13d0b7

210132333220023 has 32 divisors (see below), whose sum is σ = 317932499865600. Its totient is φ = 137106852785568.

The previous prime is 210132333220013. The next prime is 210132333220039. The reversal of 210132333220023 is 320022333231012.

210132333220023 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 323 + 332 + 2 + 0 + 0 + 2 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-210132333220023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210132333220013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305128465 + ... + 305816357.

It is an arithmetic number, because the mean of its divisors is an integer number (9935390620800).

Almost surely, 2210132333220023 is an apocalyptic number.

210132333220023 is a deficient number, since it is larger than the sum of its proper divisors (107800166645577).

210132333220023 is a wasteful number, since it uses less digits than its factorization.

210132333220023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928668 (or 928662 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 210132333220023 its reverse (320022333231012), we get a palindrome (530154666451035).

The spelling of 210132333220023 in words is "two hundred ten trillion, one hundred thirty-two billion, three hundred thirty-three million, two hundred twenty thousand, twenty-three".

Divisors: 1 3 9 27 47 141 423 1269 240719 687893 722157 2063679 2166471 6191037 6499413 11313793 18573111 32330971 33941379 96992913 101824137 290978739 305472411 872936217 165588915067 496766745201 1490300235603 4470900706809 7782679008149 23348037024447 70044111073341 210132333220023