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103141244101 = 7212971622917
BaseRepresentation
bin110000000001110110…
…0100111110011000101
3100212020002110002001211
41200003230213303011
53142213124302401
6115214334451421
710310636052400
oct1400354476305
9325202402054
10103141244101
113a8185a8305
1217ba5963b71
13995954866c
144dc6312d37
152a39dcd951
hex1803b27cc5

103141244101 has 12 divisors (see below), whose sum is σ = 120073211148. Its totient is φ = 88338563712.

The previous prime is 103141244099. The next prime is 103141244131. The reversal of 103141244101 is 101442141301.

It can be written as a sum of positive squares in 2 ways, for example, as 81927612900 + 21213631201 = 286230^2 + 145649^2 .

It is not a de Polignac number, because 103141244101 - 21 = 103141244099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103141244131) 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 11 ways as a sum of consecutive naturals, for example, 747906 + ... + 875011.

It is an arithmetic number, because the mean of its divisors is an integer number (10006100929).

Almost surely, 2103141244101 is an apocalyptic number.

It is an amenable number.

103141244101 is a deficient number, since it is larger than the sum of its proper divisors (16931967047).

103141244101 is a wasteful number, since it uses less digits than its factorization.

103141244101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624228 (or 1624221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 103141244101 its reverse (101442141301), we get a palindrome (204583385402).

The spelling of 103141244101 in words is "one hundred three billion, one hundred forty-one million, two hundred forty-four thousand, one hundred one".

Divisors: 1 7 49 1297 9079 63553 1622917 11360419 79522933 2104923349 14734463443 103141244101