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201124224554013 = 32193881715118379
BaseRepresentation
bin101101101110101111100001…
…111101011101010000011101
3222101010021210000110200012100
4231232233201331131100131
5202330204402441212023
61551431105423155313
760235513530334125
oct5556574175352035
9871107700420170
10201124224554013
11590a2339510312
121a68327ba45b39
13882bc18a36987
14379467049bc85
15183ba815dac43
hexb6ebe1f5d41d

201124224554013 has 48 divisors (see below), whose sum is σ = 292406269559040. Its totient is φ = 133210801152000.

The previous prime is 201124224554003. The next prime is 201124224554069. The reversal of 201124224554013 is 310455422421102.

201124224554013 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 2 + 4 + 2 + 245 + 5 + 401 + 3 = 666.

It is not a de Polignac number, because 201124224554013 - 26 = 201124224553949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201124224554003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10943144658 + ... + 10943163036.

It is an arithmetic number, because the mean of its divisors is an integer number (6091797282480).

Almost surely, 2201124224554013 is an apocalyptic number.

It is an amenable number.

201124224554013 is a deficient number, since it is larger than the sum of its proper divisors (91282045005027).

201124224554013 is a wasteful number, since it uses less digits than its factorization.

201124224554013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26610 (or 26607 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 201124224554013 its reverse (310455422421102), we get a palindrome (511579646975115).

The spelling of 201124224554013 in words is "two hundred one trillion, one hundred twenty-four billion, two hundred twenty-four million, five hundred fifty-four thousand, thirteen".

Divisors: 1 3 9 193 579 881 1737 2643 7151 7929 18379 21453 55137 64359 165411 170033 510099 1380143 1530297 3547147 4140429 6300031 10641441 12421287 16191899 18900093 31924323 48575697 56700279 131428229 145727091 394284687 1182854061 1215905983 3125036507 3647717949 9375109521 10943153847 25365648197 28125328563 76096944591 115788269749 228290833773 347364809247 1042094427741 22347136061557 67041408184671 201124224554013