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103141141301 = 1171585122571
BaseRepresentation
bin110000000001110110…
…0001110101100110101
3100212020002020212001102
41200003230032230311
53142213113010201
6115214332335445
710310635143602
oct1400354165465
9325202225042
10103141141301
113a818538050
1217ba5914585
139959510933
144dc62c76a9
152a39dad26b
hex1803b0eb35

103141141301 has 16 divisors (see below), whose sum is σ = 114126921216. Its totient is φ = 92424150000.

The previous prime is 103141141297. The next prime is 103141141307.

103141141301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 103141141301 - 22 = 103141141297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103141141307) 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, 4558346 + ... + 4580916.

It is an arithmetic number, because the mean of its divisors is an integer number (7132932576).

Almost surely, 2103141141301 is an apocalyptic number.

103141141301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103141141301 is a deficient number, since it is larger than the sum of its proper divisors (10985779915).

103141141301 is a wasteful number, since it uses less digits than its factorization.

103141141301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28504.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 103141 and 141301, that added together give a palindrome (244442).

The spelling of 103141141301 in words is "one hundred three billion, one hundred forty-one million, one hundred forty-one thousand, three hundred one".

Divisors: 1 11 71 781 5851 22571 64361 248281 415421 1602541 4569631 17627951 132062921 1452692131 9376467391 103141141301