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413345133201 = 371121397129001
BaseRepresentation
bin1100000001111010100…
…10100011001010010001
31110111220201210101012110
412000331102203022101
523233012323230301
6513515500415533
741602035442620
oct6007522431221
91414821711173
10413345133201
1114a331608500
12681385475a9
132cc94380c70
14160126cd6b7
15ab432c20d6
hex603d4a3291

413345133201 has 96 divisors (see below), whose sum is σ = 753272606464. Its totient is φ = 196162560000.

The previous prime is 413345133197. The next prime is 413345133211. The reversal of 413345133201 is 102331543314.

It is a happy number.

It is not a de Polignac number, because 413345133201 - 22 = 413345133197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413345133211) 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, 3139701 + ... + 3268701.

Almost surely, 2413345133201 is an apocalyptic number.

It is an amenable number.

413345133201 is a deficient number, since it is larger than the sum of its proper divisors (339927473263).

413345133201 is a wasteful number, since it uses less digits than its factorization.

413345133201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129143 (or 129132 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 413345133201 its reverse (102331543314), we get a palindrome (515676676515).

The spelling of 413345133201 in words is "four hundred thirteen billion, three hundred forty-five million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 97 121 143 231 273 291 363 429 679 847 1001 1067 1261 1573 2037 2541 3003 3201 3783 4719 7469 8827 11011 11737 13871 22407 26481 33033 35211 41613 82159 97097 129001 152581 246477 291291 387003 457743 903007 1068067 1419011 1677013 2709021 3204201 4257033 5031039 9933077 11739091 12513097 15609121 18447143 29799231 35217273 37539291 46827363 55341429 87591679 109263847 129130001 137644067 162670261 202918573 262775037 327791541 387390003 412932201 488010783 608755719 963508469 1138691827 1420430011 1514084737 1789372871 2890525407 3416075481 4261290033 4542254211 5368118613 10598593159 12525610097 19683101581 31795779477 37576830291 59049304743 137781711067 413345133201