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332123101321233 = 3372992100011903
BaseRepresentation
bin100101110000100000110111…
…1011110011101100000010001
31121112221122202222100020202010
41023201001233132131200101
5322013001102414234413
63134211125121013133
7126646050030506535
oct11341015736354021
91545848688306663
10332123101321233
119690868629aa82
12312bb8227841a9
13113420c6960cc1
145c02bb5837bc5
15285e43d9c5dc3
hex12e106f79d811

332123101321233 has 8 divisors (see below), whose sum is σ = 454799201809408. Its totient is φ = 215431200856944.

The previous prime is 332123101321199. The next prime is 332123101321237.

332123101321233 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 332123101321233 - 213 = 332123101313041 is a prime.

It is a super-2 number, since 2×3321231013212332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332123101321233.

It is not an unprimeable number, because it can be changed into a prime (332123101321237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1496050005841 + ... + 1496050006062.

It is an arithmetic number, because the mean of its divisors is an integer number (56849900226176).

Almost surely, 2332123101321233 is an apocalyptic number.

It is an amenable number.

332123101321233 is a deficient number, since it is larger than the sum of its proper divisors (122676100488175).

332123101321233 is a wasteful number, since it uses less digits than its factorization.

332123101321233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992100011943.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 33212310 and 1321233, that added together give a palindrome (34533543).

The spelling of 332123101321233 in words is "three hundred thirty-two trillion, one hundred twenty-three billion, one hundred one million, three hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 37 111 2992100011903 8976300035709 110707700440411 332123101321233