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230132213001 = 32277106986353
BaseRepresentation
bin1101011001010011110…
…0101110010100001001
3211000000022100201000100
43112110330232110021
512232302321304001
6253415444000013
722424614351335
oct3262474562411
9730008321010
10230132213001
11896646a8879
1238726990009
1318916bc6102
14b1d1d047c5
155ebd9b7586
hex3594f2e509

230132213001 has 24 divisors (see below), whose sum is σ = 333929190920. Its totient is φ = 152722838016.

The previous prime is 230132212991. The next prime is 230132213009. The reversal of 230132213001 is 100312231032.

230132213001 is a `hidden beast` number, since 230 + 132 + 2 + 1 + 300 + 1 = 666.

230132213001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48699662400 + 181432550601 = 220680^2 + 425949^2 .

It is not a de Polignac number, because 230132213001 - 223 = 230123824393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230132213009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2621841 + ... + 2708193.

Almost surely, 2230132213001 is an apocalyptic number.

It is an amenable number.

230132213001 is a deficient number, since it is larger than the sum of its proper divisors (103796977919).

230132213001 is a wasteful number, since it uses less digits than its factorization.

230132213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87705 (or 87702 counting only the distinct ones).

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

Adding to 230132213001 its reverse (100312231032), we get a palindrome (330444444033).

The spelling of 230132213001 in words is "two hundred thirty billion, one hundred thirty-two million, two hundred thirteen thousand, one".

Divisors: 1 3 9 277 831 1069 2493 3207 9621 86353 259059 296113 777177 888339 2665017 23919781 71759343 92311357 215278029 276934071 830802213 25570245889 76710737667 230132213001