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34201200110 = 2571152098527
BaseRepresentation
bin11111110110100011…
…001110010111101110
310021021112120222111012
4133312203032113232
51030021001400420
623413430225222
72320352255450
oct376643162756
9107245528435
1034201200110
111356075a940
126765ab5212
1332c08a111c
1419263b42d0
15d52893dc5
hex7f68ce5ee

34201200110 has 64 divisors (see below), whose sum is σ = 76776560640. Its totient is φ = 10656817920.

The previous prime is 34201200107. The next prime is 34201200113. The reversal of 34201200110 is 1100210243.

It is an interprime number because it is at equal distance from previous prime (34201200107) and next prime (34201200113).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34201200113) 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, 4006667 + ... + 4015193.

It is an arithmetic number, because the mean of its divisors is an integer number (1199633760).

Almost surely, 234201200110 is an apocalyptic number.

34201200110 is an abundant number, since it is smaller than the sum of its proper divisors (42575360530).

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

34201200110 is a wasteful number, since it uses less digits than its factorization.

34201200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13761.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 34201200110 its reverse (1100210243), we get a palindrome (35301410353).

The spelling of 34201200110 in words is "thirty-four billion, two hundred one million, two hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 5209 8527 10418 17054 26045 36463 42635 52090 57299 59689 72926 85270 93797 114598 119378 182315 187594 286495 298445 364630 401093 468985 572990 596890 656579 802186 937970 1313158 2005465 3282895 4010930 6565790 44417143 88834286 222085715 310920001 444171430 488588573 621840002 977177146 1554600005 2442942865 3109200010 3420120011 4885885730 6840240022 17100600055 34201200110