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126052060221 = 33193179100333
BaseRepresentation
bin111010101100101001…
…0011100110000111101
3110001100210012010101000
41311121102130300331
54031123311411341
6133524005040513
712051454555563
oct1653122346075
9401323163330
10126052060221
114950511358a
122051a6b6139
13bb6acb01a9
14615b027a33
15342b4738b6
hex1d5949cc3d

126052060221 has 64 divisors (see below), whose sum is σ = 205484032000. Its totient is φ = 76067709120.

The previous prime is 126052060201. The next prime is 126052060307. The reversal of 126052060221 is 122060250621.

126052060221 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 52 + 0 + 602 + 2 + 1 = 666.

It is not a de Polignac number, because 126052060221 - 27 = 126052060093 is a prime.

It is a super-2 number, since 2×1260520602212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126052060201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1206171 + ... + 1306503.

It is an arithmetic number, because the mean of its divisors is an integer number (3210688000).

Almost surely, 2126052060221 is an apocalyptic number.

It is an amenable number.

126052060221 is a deficient number, since it is larger than the sum of its proper divisors (79431971779).

126052060221 is a wasteful number, since it uses less digits than its factorization.

126052060221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100471 (or 100465 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 126052060221 in words is "one hundred twenty-six billion, fifty-two million, sixty thousand, two hundred twenty-one".

Divisors: 1 3 9 19 27 31 57 79 93 171 237 279 513 589 711 837 1501 1767 2133 2449 4503 5301 7347 13509 15903 22041 40527 46531 66123 100333 139593 300999 418779 902997 1256337 1906327 2708991 3110323 5718981 7926307 9330969 17156943 23778921 27992907 51470829 59096137 71336763 83978721 150599833 177288411 214010289 245715517 451799499 531865233 737146551 1355398497 1595595699 2211439653 4066195491 4668594823 6634318959 14005784469 42017353407 126052060221