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103434316241 = 4110134771983
BaseRepresentation
bin110000001010100101…
…0100110100111010001
3100212222111220200110112
41200111022212213101
53143313141104431
6115303404211105
710321125116204
oct1402512464721
9325874820415
10103434316241
113a958a7a793
1218067b39a95
1399a518c029
14501320193b
152a559bec2b
hex18152a69d1

103434316241 has 16 divisors (see below), whose sum is σ = 107316050688. Its totient is φ = 99623088000.

The previous prime is 103434316217. The next prime is 103434316259. The reversal of 103434316241 is 142613434301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103434316241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103434316198 and 103434316207.

It is not an unprimeable number, because it can be changed into a prime (103434315241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400936 + ... + 1472918.

It is an arithmetic number, because the mean of its divisors is an integer number (6707253168).

Almost surely, 2103434316241 is an apocalyptic number.

It is an amenable number.

103434316241 is a deficient number, since it is larger than the sum of its proper divisors (3881734447).

103434316241 is a wasteful number, since it uses less digits than its factorization.

103434316241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72472.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 103434316241 in words is "one hundred three billion, four hundred thirty-four million, three hundred sixteen thousand, two hundred forty-one".

Divisors: 1 41 101 347 4141 14227 35047 71983 1436927 2951303 7270283 24978101 298081603 1024102141 2522788201 103434316241