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34231202000 = 245317115601
BaseRepresentation
bin11111111000010101…
…101011000011010000
310021100122001020100022
4133320111223003100
51030101141431000
623420421243012
72321165262512
oct377025530320
9107318036308
1034231202000
1113576691796
126773b63468
1332c6b76c18
14192a383bb2
15d5531d585
hex7f856b0d0

34231202000 has 40 divisors (see below), whose sum is σ = 82771051272. Its totient is φ = 13692480000.

The previous prime is 34231201999. The next prime is 34231202011. The reversal of 34231202000 is 20213243.

It can be written as a sum of positive squares in 4 ways, for example, as 214563904 + 34016638096 = 14648^2 + 184436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×342312020003 (a number of 33 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 34231202000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8555801 + ... + 8559800.

Almost surely, 234231202000 is an apocalyptic number.

It is an amenable number.

34231202000 is an abundant number, since it is smaller than the sum of its proper divisors (48539849272).

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

34231202000 is a wasteful number, since it uses less digits than its factorization.

34231202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17115624 (or 17115608 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 34231202000 its reverse (20213243), we get a palindrome (34251415243).

The spelling of 34231202000 in words is "thirty-four billion, two hundred thirty-one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 17115601 34231202 68462404 85578005 136924808 171156010 273849616 342312020 427890025 684624040 855780050 1369248080 1711560100 2139450125 3423120200 4278900250 6846240400 8557800500 17115601000 34231202000