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103010018301 = 346012116021
BaseRepresentation
bin101111111101111100…
…0000010001111111101
3100211212221112010010000
41133323320002033331
53141431031041201
6115153330104513
710304453465031
oct1377370021775
9324787463100
10103010018301
113a760519433
1217b69a1b139
1399382c0c68
144db2b141c1
152a2d60bd86
hex17fbe023fd

103010018301 has 20 divisors (see below), whose sum is σ = 154135274524. Its totient is φ = 68559048000.

The previous prime is 103010018273. The next prime is 103010018323. The reversal of 103010018301 is 103810010301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75029427225 + 27980591076 = 273915^2 + 167274^2 .

It is not a de Polignac number, because 103010018301 - 25 = 103010018269 is a prime.

It is a super-2 number, since 2×1030100183012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103010018341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1009330 + ... + 1106691.

Almost surely, 2103010018301 is an apocalyptic number.

It is an amenable number.

103010018301 is a deficient number, since it is larger than the sum of its proper divisors (51125256223).

103010018301 is an equidigital number, since it uses as much as digits as its factorization.

103010018301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116634 (or 2116625 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103010018301 its reverse (103810010301), we get a palindrome (206820028602).

It can be divided in two parts, 1030100 and 18301, that added together give a palindrome (1048401).

The spelling of 103010018301 in words is "one hundred three billion, ten million, eighteen thousand, three hundred one".

Divisors: 1 3 9 27 81 601 1803 5409 16227 48681 2116021 6348063 19044189 57132567 171397701 1271728621 3815185863 11445557589 34336672767 103010018301