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332120013222123 = 3371757248747207
BaseRepresentation
bin100101110000011111011011…
…1011010010011000011101011
31121112221100210202112120011000
41023200332313122103003223
5322012423241341101443
63134205454444210043
7126645610352216250
oct11340766732230353
91545840722476130
10332120013222123
1196907341127455
12312bb100539923
1311341a23c41b19
145c029a165b427
15285e30c82d8d3
hex12e0fb76930eb

332120013222123 has 16 divisors (see below), whose sum is σ = 562319599106560. Its totient is φ = 189782864698248.

The previous prime is 332120013222121. The next prime is 332120013222169. The reversal of 332120013222123 is 321222310021233.

332120013222123 is a `hidden beast` number, since 3 + 3 + 2 + 120 + 0 + 1 + 322 + 212 + 3 = 666.

It is not a de Polignac number, because 332120013222123 - 21 = 332120013222121 is a prime.

It is a super-3 number, since 3×3321200132221233 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332120013222121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878624373415 + ... + 878624373792.

It is an arithmetic number, because the mean of its divisors is an integer number (35144974944160).

Almost surely, 2332120013222123 is an apocalyptic number.

332120013222123 is a deficient number, since it is larger than the sum of its proper divisors (230199585884437).

332120013222123 is a wasteful number, since it uses less digits than its factorization.

332120013222123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757248747223 (or 1757248747217 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 332120013222123 its reverse (321222310021233), we get a palindrome (653342323243356).

The spelling of 332120013222123 in words is "three hundred thirty-two trillion, one hundred twenty billion, thirteen million, two hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 189 1757248747207 5271746241621 12300741230449 15815238724863 36902223691347 47445716174589 110706671074041 332120013222123