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12202829714053 = 11711271314312179
BaseRepresentation
bin1011000110010011000101…
…0101001001001010000101
31121012120122011222011020001
42301210301111021022011
53044412343401322203
641541522542441301
72366424332102506
oct261446125111205
947176564864201
1012202829714053
113985211279060
121450ba6b93231
136a6950040a74
1430289781abad
151626549ed91d
hexb1931549285

12202829714053 has 64 divisors (see below), whose sum is σ = 13747948093440. Its totient is φ = 10738367640000.

The previous prime is 12202829714011. The next prime is 12202829714071. The reversal of 12202829714053 is 35041792820221.

It is a happy number.

It is not a de Polignac number, because 12202829714053 - 237 = 12065390760581 is a prime.

It is a super-3 number, since 3×122028297140533 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12202829713994 and 12202829714012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202829714653) 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, 5600196118 + ... + 5600198296.

It is an arithmetic number, because the mean of its divisors is an integer number (214811688960).

Almost surely, 212202829714053 is an apocalyptic number.

It is an amenable number.

12202829714053 is a deficient number, since it is larger than the sum of its proper divisors (1545118379387).

12202829714053 is a wasteful number, since it uses less digits than its factorization.

12202829714053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950.

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 12202829714053 in words is "twelve trillion, two hundred two billion, eight hundred twenty-nine million, seven hundred fourteen thousand, fifty-three".

Divisors: 1 11 71 127 131 431 781 1397 1441 2179 4741 9017 9301 16637 23969 30601 54737 56461 99187 102311 154709 183007 276733 285449 336611 602107 621071 939149 1181227 1701799 3044063 3139939 3886327 4008731 7170547 10330639 12993497 19648043 20266879 36252023 42749597 44096041 66679579 78876017 119271923 123028519 216128473 222935669 398772253 509108837 733475369 1311991153 1353313709 2573893633 5600197207 8468306533 8735024849 15624621913 28312829963 93151371863 96085273339 171870841043 1109348155823 12202829714053