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103121131201 = 1131732539091
BaseRepresentation
bin110000000001001111…
…1111001011011000001
3100212011200121020100121
41200002133321123001
53142143002144301
6115212335420241
710310303103244
oct1400237713301
9325150536317
10103121131201
113a808210180
1217b9b084681
139955325a3a
144dc379925b
152a382593a1
hex18027f96c1

103121131201 has 16 divisors (see below), whose sum is σ = 112897764288. Its totient is φ = 93411748800.

The previous prime is 103121131177. The next prime is 103121131207. The reversal of 103121131201 is 102131121301.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103121131201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103121131207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11338666 + ... + 11347756.

It is an arithmetic number, because the mean of its divisors is an integer number (7056110268).

Almost surely, 2103121131201 is an apocalyptic number.

103121131201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103121131201 is a deficient number, since it is larger than the sum of its proper divisors (9776633087).

103121131201 is a wasteful number, since it uses less digits than its factorization.

103121131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 103121131201 its reverse (102131121301), we get a palindrome (205252252502).

The spelling of 103121131201 in words is "one hundred three billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 11 317 3253 3487 9091 35783 100001 1031201 2881847 11343211 29573023 31700317 325303253 9374648291 103121131201