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332032230211133 = 739746890584693
BaseRepresentation
bin100101101111110110100011…
…1001000101011111000111101
31121112121222020000022120012202
41023133231013020223320331
5322010004001413224013
63134101300101441245
7126636352123020434
oct11337550710537075
91545558200276182
10332032230211133
1196883094989a91
12312a60a2110225
131133667451bc7a
145bdc634d8011b
15285bdc0e27858
hex12dfb4722be3d

332032230211133 has 8 divisors (see below), whose sum is σ = 340050520200888. Its totient is φ = 324107721391104.

The previous prime is 332032230211127. The next prime is 332032230211139. The reversal of 332032230211133 is 331112032230233.

It is an interprime number because it is at equal distance from previous prime (332032230211127) and next prime (332032230211139).

It can be written as a sum of positive squares in 4 ways, for example, as 106444657108804 + 225587573102329 = 10317202^2 + 15019573^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 332032230211133 - 212 = 332032230207037 is a prime.

It is a super-2 number, since 2×3320322302111332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332032230211096 and 332032230211105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332032230211139) 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 7 ways as a sum of consecutive naturals, for example, 23445285266 + ... + 23445299427.

It is an arithmetic number, because the mean of its divisors is an integer number (42506315025111).

Almost surely, 2332032230211133 is an apocalyptic number.

It is an amenable number.

332032230211133 is a deficient number, since it is larger than the sum of its proper divisors (8018289989755).

332032230211133 is an equidigital number, since it uses as much as digits as its factorization.

332032230211133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46890584863.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 332032230211133 its reverse (331112032230233), we get a palindrome (663144262441366).

The spelling of 332032230211133 in words is "three hundred thirty-two trillion, thirty-two billion, two hundred thirty million, two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 73 97 7081 46890584693 3423012682589 4548386715221 332032230211133