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45121232205 = 3257197539053
BaseRepresentation
bin101010000001011011…
…110101110101001101
311022110120120002101100
4222001123311311031
51214402013412310
632421200333313
73155101100640
oct520133656515
9138416502340
1045121232205
1118154839655
1288b3014239
134341079b8a
1422807c9a57
1512913d8ec0
hexa816f5d4d

45121232205 has 48 divisors (see below), whose sum is σ = 94087393920. Its totient is φ = 19541222784.

The previous prime is 45121232203. The next prime is 45121232263. The reversal of 45121232205 is 50223212154.

45121232205 is a `hidden beast` number, since 4 + 512 + 123 + 2 + 20 + 5 = 666.

It is not a de Polignac number, because 45121232205 - 21 = 45121232203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45121232201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3763542 + ... + 3775511.

It is an arithmetic number, because the mean of its divisors is an integer number (1960154040).

Almost surely, 245121232205 is an apocalyptic number.

45121232205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45121232205 is an abundant number, since it is smaller than the sum of its proper divisors (48966161715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45121232205 is a wasteful number, since it uses less digits than its factorization.

45121232205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7539090 (or 7539087 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 45121232205 its reverse (50223212154), we get a palindrome (95344444359).

The spelling of 45121232205 in words is "forty-five billion, one hundred twenty-one million, two hundred thirty-two thousand, two hundred five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 7539053 22617159 37695265 52773371 67851477 113085795 143242007 158320113 263866855 339257385 429726021 474960339 716210035 791600565 1002694049 1289178063 2148630105 2374801695 3008082147 5013470245 6445890315 9024246441 15040410735 45121232205