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445151101213 = 7131943109163337
BaseRepresentation
bin1100111101001010001…
…00101100000100011101
31120120000100022221221201
412132211010230010131
524243132140214323
6540255524555501
744106154633420
oct6364504540435
91516010287851
10445151101213
11161873211a85
1272334252b91
1332c92945690
141778c9259b7
15b8a57328ad
hex67a512c11d

445151101213 has 128 divisors (see below), whose sum is σ = 600971571200. Its totient is φ = 319987003392.

The previous prime is 445151101189. The next prime is 445151101231. The reversal of 445151101213 is 312101151544.

It is a happy number.

It is not a de Polignac number, because 445151101213 - 217 = 445150970141 is a prime.

It is a super-3 number, since 3×4451511012133 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445151104213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1320922981 + ... + 1320923317.

It is an arithmetic number, because the mean of its divisors is an integer number (4695090400).

Almost surely, 2445151101213 is an apocalyptic number.

445151101213 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

445151101213 is a deficient number, since it is larger than the sum of its proper divisors (155820469987).

445151101213 is a wasteful number, since it uses less digits than its factorization.

445151101213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691.

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 445151101213 its reverse (312101151544), we get a palindrome (757252252757).

The spelling of 445151101213 in words is "four hundred forty-five billion, one hundred fifty-one million, one hundred one thousand, two hundred thirteen".

Divisors: 1 7 13 19 43 91 109 133 163 247 301 337 559 763 817 1141 1417 1729 2071 2119 2359 3097 3913 4381 4687 5719 6403 7009 9919 10621 14491 14497 14833 17767 21679 26923 30667 32809 36733 40261 44821 49063 54931 60931 74347 83239 89053 91117 101437 124369 133171 188383 188461 230971 257131 275329 281827 337573 384517 426517 477529 582673 623371 637819 697927 714103 763981 932197 1043689 1157689 1318681 1579519 1616797 1731223 1927303 2362033 2363011 3342703 3579277 4388449 4885489 4998721 5347867 5987479 7305823 8103823 9073051 9931753 11056633 12118561 13567957 14515639 16534231 20533747 25054939 30010861 30706429 30719143 41912353 44878627 63511357 69522271 77837227 94975699 101609473 113762101 143736229 188703307 210076027 214945003 257461597 314150389 390141193 544860589 583422151 796334707 1320923149 1478907313 1802231179 2730988351 3347000761 4083955057 4891770343 10352351191 23429005327 34242392401 63593014459 445151101213