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34334311220202 = 2375318238460899
BaseRepresentation
bin1111100111010000101000…
…11011001000001111101010
311111120022212011221001211210
413303220110123020033222
514000013132133021302
6201004544222533550
710142400145030650
oct763502433101752
9144508764831753
1034334311220202
11aa38110654554
123a262774372b6
131620933678c36
14869b0a680dd0
153e81aa7ba66c
hex1f3a146c83ea

34334311220202 has 64 divisors (see below), whose sum is σ = 80003021414400. Its totient is φ = 9619431841344.

The previous prime is 34334311220107. The next prime is 34334311220213. The reversal of 34334311220202 is 20202211343343.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34334311220202.

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, 172452 + ... + 8288447.

It is an arithmetic number, because the mean of its divisors is an integer number (1250047209600).

Almost surely, 234334311220202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34334311220202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40001510707200).

34334311220202 is an abundant number, since it is smaller than the sum of its proper divisors (45668710194198).

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

34334311220202 is a wasteful number, since it uses less digits than its factorization.

34334311220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462787.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34334311220202 its reverse (20202211343343), we get a palindrome (54536522563545).

The spelling of 34334311220202 in words is "thirty-four trillion, three hundred thirty-four billion, three hundred eleven million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 1823 2226 3646 5469 10938 12761 25522 38283 76566 96619 193238 289857 579714 676333 1352666 2028999 4057998 8460899 16921798 25382697 50765394 59226293 118452586 177678879 355357758 448427647 896855294 1345282941 2690565882 3138993529 6277987058 9416980587 15424218877 18833961174 30848437754 46272656631 92545313262 107969532139 215939064278 323908596417 647817192834 817483600481 1634967200962 2452450801443 4904901602886 5722385203367 11444770406734 17167155610101 34334311220202