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34130350200 = 23352541710501
BaseRepresentation
bin11111110010010100…
…111101000001111000
310021002121021102200110
4133302110331001320
51024344332201300
623402415504320
72315532122112
oct376224750170
9107077242613
1034130350200
11135247692a1
1267462280a0
1332abcc57bb
14191ac103b2
15d4b54b550
hex7f253d078

34130350200 has 96 divisors (see below), whose sum is σ = 105833694960. Its totient is φ = 9098880000.

The previous prime is 34130350151. The next prime is 34130350213. The reversal of 34130350200 is 205303143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3244950 + ... + 3255450.

Almost surely, 234130350200 is an apocalyptic number.

34130350200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34130350200 is an abundant number, since it is smaller than the sum of its proper divisors (71703344760).

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

34130350200 is a wasteful number, since it uses less digits than its factorization.

34130350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15937 (or 15928 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 34130350200 its reverse (205303143), we get a palindrome (34335653343).

The spelling of 34130350200 in words is "thirty-four billion, one hundred thirty million, three hundred fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5417 10501 10834 16251 21002 21668 27085 31503 32502 42004 43336 52505 54170 63006 65004 81255 84008 105010 108340 126012 130008 135425 157515 162510 210020 216680 252024 262525 270850 315030 325020 406275 420040 525050 541700 630060 650040 787575 812550 1050100 1083400 1260120 1575150 1625100 2100200 3150300 3250200 6300600 56883917 113767834 170651751 227535668 284419585 341303502 455071336 568839170 682607004 853258755 1137678340 1365214008 1422097925 1706517510 2275356680 2844195850 3413035020 4266293775 5688391700 6826070040 8532587550 11376783400 17065175100 34130350200