Search a number
-
+
331212202222002 = 236713119332587547
BaseRepresentation
bin100101101001111000101100…
…1101010001010000110110010
31121102201120120211222120002220
41023103301121222022012302
5321403040042232101002
63132232441332021510
7126523202064066513
oct11323613152120662
91542646524876086
10331212202222002
1196597340519662
1231193188461896
13112a723b14806a
145bb0a82b28a0a
1528458c96db7bc
hex12d3c59a8a1b2

331212202222002 has 64 divisors (see below), whose sum is σ = 680953574214144. Its totient is φ = 107366839557120.

The previous prime is 331212202221959. The next prime is 331212202222093. The reversal of 331212202222002 is 200222202212133.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6130008 + ... + 26457539.

It is an arithmetic number, because the mean of its divisors is an integer number (10639899597096).

Almost surely, 2331212202222002 is an apocalyptic number.

331212202222002 is an abundant number, since it is smaller than the sum of its proper divisors (349741371992142).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331212202222002 is a wasteful number, since it uses less digits than its factorization.

331212202222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32587943.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 331212202222002 its reverse (200222202212133), we get a palindrome (531434404434135).

The spelling of 331212202222002 in words is "three hundred thirty-one trillion, two hundred twelve billion, two hundred two million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 67 131 134 193 201 262 386 393 402 579 786 1158 8777 12931 17554 25283 25862 26331 38793 50566 52662 75849 77586 151698 1693961 3387922 5081883 10163766 32587547 65175094 97762641 195525282 2183365649 4268968657 4366731298 6289396571 6550096947 8537937314 12578793142 12806905971 13100193894 18868189713 25613811942 37736379426 286020900019 421389570257 572041800038 823910950801 842779140514 858062700057 1264168710771 1647821901602 1716125400114 2471732852403 2528337421542 4943465704806 55202033703667 110404067407334 165606101111001 331212202222002