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103200010331 = 11171498114567
BaseRepresentation
bin110000000011100110…
…0110011000001011011
3100212101012000201011212
41200013030303001123
53142323200312311
6115224234213335
710312251420455
oct1400714630133
9325335021155
10103200010331
113a848796240
121800158424b
139968782b92
144dd004d2d5
152a4013ac8b
hex180733305b

103200010331 has 32 divisors (see below), whose sum is σ = 120178598400. Its totient is φ = 87579532800.

The previous prime is 103200010313. The next prime is 103200010337. The reversal of 103200010331 is 133010002301.

It is a cyclic number.

It is not a de Polignac number, because 103200010331 - 234 = 86020141147 is a prime.

It is a super-2 number, since 2×1032000103312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103200010337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22594610 + ... + 22599176.

It is an arithmetic number, because the mean of its divisors is an integer number (3755581200).

Almost surely, 2103200010331 is an apocalyptic number.

103200010331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103200010331 is a deficient number, since it is larger than the sum of its proper divisors (16978588069).

103200010331 is a wasteful number, since it uses less digits than its factorization.

103200010331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 103200010331 its reverse (133010002301), we get a palindrome (236210012632).

The spelling of 103200010331 in words is "one hundred three billion, two hundred million, ten thousand, three hundred thirty-one".

Divisors: 1 11 17 149 187 811 1639 2533 4567 8921 13787 27863 50237 77639 120839 151657 680483 854029 1329229 2054263 3703837 7485313 11568211 22596893 40742207 62965229 127250321 551871713 692617519 6070588843 9381819121 103200010331