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342120000333 = 319311279151381
BaseRepresentation
bin1001111101001111111…
…00001110101101001101
31012201001221010201222110
410332213330032231031
521101130210002313
6421100122534233
733501024010206
oct4764774165515
91181057121873
10342120000333
11122101903a31
125637b367379
1326353182627
14127b70c45ad
158d7535dec3
hex4fa7f0eb4d

342120000333 has 32 divisors (see below), whose sum is σ = 496048537600. Its totient is φ = 208940731200.

The previous prime is 342120000319. The next prime is 342120000359. The reversal of 342120000333 is 333000021243.

It is not a de Polignac number, because 342120000333 - 28 = 342120000077 is a prime.

It is a super-2 number, since 2×3421200003332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342120050333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2184303 + ... + 2335683.

It is an arithmetic number, because the mean of its divisors is an integer number (15501516800).

Almost surely, 2342120000333 is an apocalyptic number.

It is an amenable number.

342120000333 is a deficient number, since it is larger than the sum of its proper divisors (153928537267).

342120000333 is a wasteful number, since it uses less digits than its factorization.

342120000333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152713.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 342120000333 its reverse (333000021243), we get a palindrome (675120021576).

The spelling of 342120000333 in words is "three hundred forty-two billion, one hundred twenty million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 19 31 57 93 589 1279 1767 3837 24301 39649 72903 118947 151381 454143 753331 2259993 2876239 4692811 8628717 14078433 89163409 193616299 267490227 580848897 3678709681 6002105269 11036129043 18006315807 114040000111 342120000333