Search a number
-
+
332003031233201 = 3110709775201071
BaseRepresentation
bin100101101111101000111101…
…0101111011011001010110001
31121112112011212002021210112122
41023133101322233123022301
5322004014201443430301
63134040030442204025
7126634266420553046
oct11337217257331261
91545464762253478
10332003031233201
1196871770914769
12312a04b34b3615
13113339a00a7033
145bdb0650891cd
15285b2627c881b
hex12df47abdb2b1

332003031233201 has 4 divisors (see below), whose sum is σ = 342712806434304. Its totient is φ = 321293256032100.

The previous prime is 332003031233191. The next prime is 332003031233233. The reversal of 332003031233201 is 102332130300233.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 332003031233201 - 238 = 331728153326257 is a prime.

It is a super-2 number, since 2×3320030312332012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332003031433201) 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 3 ways as a sum of consecutive naturals, for example, 5354887600505 + ... + 5354887600566.

It is an arithmetic number, because the mean of its divisors is an integer number (85678201608576).

Almost surely, 2332003031233201 is an apocalyptic number.

332003031233201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

332003031233201 is a deficient number, since it is larger than the sum of its proper divisors (10709775201103).

332003031233201 is a wasteful number, since it uses less digits than its factorization.

332003031233201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10709775201102.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 332003031233201 its reverse (102332130300233), we get a palindrome (434335161533434).

The spelling of 332003031233201 in words is "three hundred thirty-two trillion, three billion, thirty-one million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 31 10709775201071 332003031233201