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201002113203059 = 717197311115323911
BaseRepresentation
bin101101101100111101110011…
…100011100111101101110011
3222100200121120212102022200102
4231230331303203213231303
5202321204311434444214
61551255032425143015
760223631513100440
oct5554756343475563
9870617525368612
10201002113203059
1159055576874a53
121a66368102aa6b
1388205582b901c
14378c7a89929c7
1518387d60c9bde
hexb6cf738e7b73

201002113203059 has 64 divisors (see below), whose sum is σ = 245473145229312. Its totient is φ = 160664916787200.

The previous prime is 201002113203019. The next prime is 201002113203061. The reversal of 201002113203059 is 950302311200102.

It is a happy number.

It is not a de Polignac number, because 201002113203059 - 224 = 201002096425843 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201002113203019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8406249314 + ... + 8406273224.

It is an arithmetic number, because the mean of its divisors is an integer number (3835517894208).

Almost surely, 2201002113203059 is an apocalyptic number.

201002113203059 is a deficient number, since it is larger than the sum of its proper divisors (44471032026253).

201002113203059 is a wasteful number, since it uses less digits than its factorization.

201002113203059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25596.

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 201002113203059 in words is "two hundred one trillion, two billion, one hundred thirteen million, two hundred three thousand, fifty-nine".

Divisors: 1 7 17 119 197 311 1153 1379 2177 3349 5287 8071 19601 23443 23911 37009 61267 137207 167377 227141 358583 406487 428869 1041539 1589987 2510081 2845409 3861397 4710467 6095911 7290773 7436321 27029779 27569383 32973269 42671377 52054247 70640851 80077939 126417457 192985681 468679511 494485957 560545573 884922199 1200894467 1464955237 3280756577 5431168451 8406261269 8574078113 10254686659 24904239029 38018179157 60018546791 92329863667 145759327921 174329673203 646309045669 1020315295447 1689093388261 11823653717827 28714587600437 201002113203059