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233034432001 = 7295059226913
BaseRepresentation
bin1101100100000111101…
…1110011111000000001
3211021111120101201000221
43121001323303320001
512304223303311001
6255015440343041
722556544663250
oct3310173637001
9737446351027
10233034432001
118a913952978
12391b6914a81
1318c8a262b67
14b3c9536797
1560dd6941a1
hex3641ef3e01

233034432001 has 16 divisors (see below), whose sum is σ = 275564361600. Its totient is φ = 192817110528.

The previous prime is 233034431969. The next prime is 233034432013. The reversal of 233034432001 is 100234430332.

233034432001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233034432001 - 25 = 233034431969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233034432031) 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 15 ways as a sum of consecutive naturals, for example, 913521 + ... + 1140433.

It is an arithmetic number, because the mean of its divisors is an integer number (17222772600).

Almost surely, 2233034432001 is an apocalyptic number.

It is an amenable number.

233034432001 is a deficient number, since it is larger than the sum of its proper divisors (42529929599).

233034432001 is a wasteful number, since it uses less digits than its factorization.

233034432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232008.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 233034432001 its reverse (100234430332), we get a palindrome (333268862333).

The spelling of 233034432001 in words is "two hundred thirty-three billion, thirty-four million, four hundred thirty-two thousand, one".

Divisors: 1 7 29 203 5059 35413 146711 226913 1026977 1588391 6580477 46063339 1147952867 8035670069 33290633143 233034432001