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132213112320333 = 31137108282647273
BaseRepresentation
bin11110000011111101000011…
…100110000011000101001101
3122100010110011010021201020010
4132003331003212003011031
5114312134423223222313
61145105510523343433
736564040114065642
oct3603750346030515
9570113133251203
10132213112320333
11391442a2130590
12129b3953981b79
1358a0848875945
142491212375dc9
151044276c374c3
hex783f4398314d

132213112320333 has 16 divisors (see below), whose sum is σ = 197507548627776. Its totient is φ = 77963506035840.

The previous prime is 132213112320239. The next prime is 132213112320347. The reversal of 132213112320333 is 333023211312231.

It is not a de Polignac number, because 132213112320333 - 212 = 132213112316237 is a prime.

It is a super-3 number, since 3×1322131123203333 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132213112320333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213112320353) 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 15 ways as a sum of consecutive naturals, for example, 54141322416 + ... + 54141324857.

It is an arithmetic number, because the mean of its divisors is an integer number (12344221789236).

Almost surely, 2132213112320333 is an apocalyptic number.

It is an amenable number.

132213112320333 is a deficient number, since it is larger than the sum of its proper divisors (65294436307443).

132213112320333 is a wasteful number, since it uses less digits than its factorization.

132213112320333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108282647324.

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

Adding to 132213112320333 its reverse (333023211312231), we get a palindrome (465236323632564).

The spelling of 132213112320333 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred twelve million, three hundred twenty thousand, three hundred thirty-three".

Divisors: 1 3 11 33 37 111 407 1221 108282647273 324847941819 1191109120003 3573327360009 4006457949101 12019373847303 44071037440111 132213112320333