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103200103001 = 3723311970781
BaseRepresentation
bin110000000011100110…
…1001001101001011001
3100212101012012102022002
41200013031021221121
53142323211244001
6115224240210345
710312252254602
oct1400715115131
9325335172262
10103200103001
113a848849926
12180016099b5
1399687b6108
144dd0074da9
152a4015846b
hex1807349a59

103200103001 has 8 divisors (see below), whose sum is σ = 106444193544. Its totient is φ = 99979954560.

The previous prime is 103200102961. The next prime is 103200103007. The reversal of 103200103001 is 100301002301.

It can be written as a sum of positive squares in 4 ways, for example, as 21301110601 + 81898992400 = 145949^2 + 286180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103200103001 - 214 = 103200086617 is a prime.

It is a super-2 number, since 2×1032001030012 (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 (103200103007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5976770 + ... + 5994011.

It is an arithmetic number, because the mean of its divisors is an integer number (13305524193).

Almost surely, 2103200103001 is an apocalyptic number.

It is an amenable number.

103200103001 is a deficient number, since it is larger than the sum of its proper divisors (3244090543).

103200103001 is a wasteful number, since it uses less digits than its factorization.

103200103001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11971051.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 103200103001 its reverse (100301002301), we get a palindrome (203501105302).

The spelling of 103200103001 in words is "one hundred three billion, two hundred million, one hundred three thousand, one".

Divisors: 1 37 233 8621 11970781 442918897 2789191973 103200103001