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332084478011 = 111322910140913
BaseRepresentation
bin1001101010100011100…
…01110000000000111011
31011202011112112101101112
410311101301300000323
520420102111244021
6412320230510535
732664235326506
oct4652161600073
91152145471345
10332084478011
11118922037530
125443a50544b
1325414008740
141210435613d
1589892d5d5b
hex4d51c7003b

332084478011 has 16 divisors (see below), whose sum is σ = 391844916960. Its totient is φ = 277455352320.

The previous prime is 332084477993. The next prime is 332084478023. The reversal of 332084478011 is 110874480233.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332084478011 is a prime.

It is a super-3 number, since 3×3320844780113 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 332084478011.

It is not an unprimeable number, because it can be changed into a prime (332084478211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5037710 + ... + 5103203.

It is an arithmetic number, because the mean of its divisors is an integer number (24490307310).

Almost surely, 2332084478011 is an apocalyptic number.

332084478011 is a deficient number, since it is larger than the sum of its proper divisors (59760438949).

332084478011 is a wasteful number, since it uses less digits than its factorization.

332084478011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141166.

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 332084478011 in words is "three hundred thirty-two billion, eighty-four million, four hundred seventy-eight thousand, eleven".

Divisors: 1 11 13 143 229 2519 2977 32747 10140913 111550043 131831869 1450150559 2322269077 25544959847 30189498001 332084478011