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45512235321201 = 321119292389349241
BaseRepresentation
bin10100101100100101001001…
…00111101000011101110001
312222010221000221011120022200
422112102210213220131301
521431133024220234301
6240444010545253413
712405102422146605
oct1226224447503561
9188127027146280
1045512235321201
11135576a3378a30
1251306ab634269
131c51a2961460c
14b34b3803b505
1553dd272c6c86
hex2964a49e8771

45512235321201 has 96 divisors (see below), whose sum is σ = 78126832368000. Its totient is φ = 25219710028800.

The previous prime is 45512235321197. The next prime is 45512235321227. The reversal of 45512235321201 is 10212353221554.

45512235321201 is a `hidden beast` number, since 4 + 5 + 5 + 122 + 3 + 5 + 321 + 201 = 666.

It is not a de Polignac number, because 45512235321201 - 22 = 45512235321197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45512235321001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130142941 + ... + 130492181.

It is an arithmetic number, because the mean of its divisors is an integer number (813821170500).

Almost surely, 245512235321201 is an apocalyptic number.

It is an amenable number.

45512235321201 is a deficient number, since it is larger than the sum of its proper divisors (32614597046799).

45512235321201 is a wasteful number, since it uses less digits than its factorization.

45512235321201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351695 (or 351692 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 45512235321201 its reverse (10212353221554), we get a palindrome (55724588542755).

The spelling of 45512235321201 in words is "forty-five trillion, five hundred twelve billion, two hundred thirty-five million, three hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 11 19 29 33 57 87 99 171 209 261 319 551 627 957 1653 1881 2389 2871 4959 6061 7167 18183 21501 26279 45391 54549 69281 78837 136173 207843 236511 349241 408519 499301 623529 762091 1047723 1316339 1497903 2286273 3143169 3841651 3949017 4493709 6635579 6858819 10127989 11524953 11847051 14479729 19906737 30383967 34574859 43439187 59720211 72991369 91151901 111407879 130317561 192431791 218974107 334223637 577295373 656922321 834336749 1002670911 1731886119 2116749701 2503010247 6350249103 7509030741 9177704239 15852398231 19050747309 24195765721 27533112717 47557194693 72587297163 82599338151 142671584079 174376380541 217761891489 266153422931 459719548699 523129141623 798460268793 1379158646097 1569387424869 2395380806379 4137475938291 5056915035689 15170745107067 45512235321201