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34102122043314 = 231313031663201767
BaseRepresentation
bin1111100000100000001001…
…10111101101011110110010
311110202010112112000202211210
413300100010313231132302
513432212121220341224
6200310144255020550
710116540242424123
oct760200467553662
9143663475022753
1034102122043314
11a9586a0942326
1239a927780a756
131604a7c582740
1485c7a14d404a
153e211b43c429
hex1f0404ded7b2

34102122043314 has 64 divisors (see below), whose sum is σ = 73551660908544. Its totient is φ = 10478550954816.

The previous prime is 34102122043313. The next prime is 34102122043333. The reversal of 34102122043314 is 41334022120143.

It is not an unprimeable number, because it can be changed into a prime (34102122043313) 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 31 ways as a sum of consecutive naturals, for example, 168916459 + ... + 169118225.

It is an arithmetic number, because the mean of its divisors is an integer number (1149244701696).

Almost surely, 234102122043314 is an apocalyptic number.

34102122043314 is an abundant number, since it is smaller than the sum of its proper divisors (39449538865230).

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

34102122043314 is a wasteful number, since it uses less digits than its factorization.

34102122043314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204751.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34102122043314 its reverse (41334022120143), we get a palindrome (75436144163457).

The spelling of 34102122043314 in words is "thirty-four trillion, one hundred two billion, one hundred twenty-two million, forty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 1303 1663 2606 3326 3909 4989 7818 9978 16939 21619 33878 43238 50817 64857 101634 129714 201767 403534 605301 1210602 2166889 2622971 4333778 5245942 6500667 7868913 13001334 15737826 28169557 56339114 84508671 169017342 262902401 335538521 525804802 671077042 788707203 1006615563 1577414406 2013231126 3417731213 4362000773 6835462426 8724001546 10253193639 13086002319 20506387278 26172004638 437206692863 874413385726 1311620078589 2623240157178 5683687007219 11367374014438 17051061021657 34102122043314