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133213404321 = 32314318236091
BaseRepresentation
bin111110000010000100…
…0110011110010100001
3110201211212112002122200
41330010020303302201
54140310112414241
6141110345323413
712424103153034
oct1740410636241
9421755462580
10133213404321
115154a548388
1221998a96569
13c73c8575ca
14663a18301b
1536ea00d4b6
hex1f04233ca1

133213404321 has 48 divisors (see below), whose sum is σ = 203390533632. Its totient is φ = 83885608800.

The previous prime is 133213404281. The next prime is 133213404341. The reversal of 133213404321 is 123404312331.

It is a happy number.

133213404321 is a `hidden beast` number, since 1 + 332 + 1 + 3 + 4 + 0 + 4 + 321 = 666.

It is not a de Polignac number, because 133213404321 - 27 = 133213404193 is a prime.

It is a super-2 number, since 2×1332134043212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133213404341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21867486 + ... + 21873576.

It is an arithmetic number, because the mean of its divisors is an integer number (4237302784).

Almost surely, 2133213404321 is an apocalyptic number.

It is an amenable number.

133213404321 is a deficient number, since it is larger than the sum of its proper divisors (70177129311).

133213404321 is a wasteful number, since it uses less digits than its factorization.

133213404321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7994 (or 7991 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133213404321 its reverse (123404312331), we get a palindrome (256617716652).

The spelling of 133213404321 in words is "one hundred thirty-three billion, two hundred thirteen million, four hundred four thousand, three hundred twenty-one".

Divisors: 1 3 9 31 43 93 129 279 387 1333 1823 3999 5469 6091 11997 16407 18273 54819 56513 78389 169539 188821 235167 261913 508617 566463 705501 785739 1699389 2357217 2430059 7290177 8119303 11103893 21870531 24357909 33311679 73073727 99935037 344220683 477467399 1032662049 1432402197 3097986147 4297206591 14801489369 44404468107 133213404321