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1100212413233 = 17297331099833
BaseRepresentation
bin10000000000101001110…
…001010010001100110001
310220011211200202110220112
4100000221301102030301
5121011213334210413
62201233002151105
7142326201132053
oct20005161221461
93804750673815
101100212413233
1139466325221a
1215928aab2495
137c998aba68b
143b37179b8d3
151d94445d2a8
hex10029c52331

1100212413233 has 32 divisors (see below), whose sum is σ = 1222126250400. Its totient is φ = 985674203136.

The previous prime is 1100212413227. The next prime is 1100212413247. The reversal of 1100212413233 is 3323142120011.

It can be written as a sum of positive squares in 16 ways, for example, as 139406650384 + 960805762849 = 373372^2 + 980207^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100212413233 - 218 = 1100212151089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100212413199 and 1100212413208.

It is not an unprimeable number, because it can be changed into a prime (1100212413263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111884885 + ... + 111894717.

It is an arithmetic number, because the mean of its divisors is an integer number (38191445325).

Almost surely, 21100212413233 is an apocalyptic number.

It is an amenable number.

1100212413233 is a deficient number, since it is larger than the sum of its proper divisors (121913837167).

1100212413233 is a wasteful number, since it uses less digits than its factorization.

1100212413233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13061.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1100212413233 its reverse (3323142120011), we get a palindrome (4423354533244).

The spelling of 1100212413233 in words is "one trillion, one hundred billion, two hundred twelve million, four hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 17 29 73 493 1241 2117 3109 9833 35989 52853 90161 167161 226957 285157 717809 1532737 3858269 4847669 6581753 12202753 20816461 30570797 111889801 353879837 519703549 886553113 2231668181 15071402921 37938359077 64718377249 1100212413233