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103414310441 = 13232571345787
BaseRepresentation
bin110000001001111111…
…0010010011000101001
3100212221010021021122222
41200103332102120221
53143243030413231
6115301411323425
710320463064231
oct1402376223051
9325833237588
10103414310441
113a948756072
12180612b0575
1399a0ca6090
1450106b4cc1
152a53d6c27b
hex1813f92629

103414310441 has 16 divisors (see below), whose sum is σ = 116663670144. Its totient is φ = 90953601024.

The previous prime is 103414310437. The next prime is 103414310453. The reversal of 103414310441 is 144013414301.

It is a happy number.

It is not a de Polignac number, because 103414310441 - 22 = 103414310437 is a prime.

It is a super-2 number, since 2×1034143104412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103414310441.

It is not an unprimeable number, because it can be changed into a prime (103414310411) 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, 596051 + ... + 749736.

It is an arithmetic number, because the mean of its divisors is an integer number (7291479384).

Almost surely, 2103414310441 is an apocalyptic number.

It is an amenable number.

103414310441 is a deficient number, since it is larger than the sum of its proper divisors (13249359703).

103414310441 is a wasteful number, since it uses less digits than its factorization.

103414310441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346080.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 103414310441 its reverse (144013414301), we get a palindrome (247427724742).

The spelling of 103414310441 in words is "one hundred three billion, four hundred fourteen million, three hundred ten thousand, four hundred forty-one".

Divisors: 1 13 23 257 299 3341 5911 76843 1345787 17495231 30953101 345867259 402390313 4496274367 7954946957 103414310441