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103230100233 = 321337199711941
BaseRepresentation
bin110000000100011111…
…1100101001100001001
3100212110021122102202200
41200020333211030021
53142403401201413
6115231231150413
710313065242231
oct1401077451411
9325407572680
10103230100233
113a863778227
121800b675409
139971a89a60
144dd4042cc1
152a42ad1573
hex1808fe5309

103230100233 has 48 divisors (see below), whose sum is σ = 165016562256. Its totient is φ = 61773166080.

The previous prime is 103230100177. The next prime is 103230100247. The reversal of 103230100233 is 332001032301.

103230100233 is a `hidden beast` number, since 10 + 323 + 0 + 100 + 233 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16058718729 + 87171381504 = 126723^2 + 295248^2 .

It is not a de Polignac number, because 103230100233 - 228 = 102961664777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103230100333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8639043 + ... + 8650983.

It is an arithmetic number, because the mean of its divisors is an integer number (3437845047).

Almost surely, 2103230100233 is an apocalyptic number.

103230100233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103230100233 is a deficient number, since it is larger than the sum of its proper divisors (61786462023).

103230100233 is a wasteful number, since it uses less digits than its factorization.

103230100233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13994 (or 13991 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103230100233 its reverse (332001032301), we get a palindrome (435231132534).

The spelling of 103230100233 in words is "one hundred three billion, two hundred thirty million, one hundred thousand, two hundred thirty-three".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 1997 4329 5991 11941 17973 25961 35823 73889 77883 107469 155233 221667 233649 441817 465699 665001 960557 1325451 1397097 2881671 3976353 5743621 8645013 17230863 23846177 51692589 71538531 214615593 310000301 882308549 930000903 2646925647 2790002709 7940776941 11470011137 34410033411 103230100233