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332033312113101 = 33157238932787031
BaseRepresentation
bin100101101111110111000011…
…1100111110100000111001101
31121112122002000102002212201000
41023133232013213310013031
5322010013210400104401
63134101555310410513
7126636421001025534
oct11337560747640715
91545562012085630
10332033312113101
119688359a662a45
12312a6344500a39
13113367b7704151
145bdc6d892b31b
15285be35dd6186
hex12dfb879f41cd

332033312113101 has 32 divisors (see below), whose sum is σ = 495241560953600. Its totient is φ = 219853560813120.

The previous prime is 332033312113081. The next prime is 332033312113147. The reversal of 332033312113101 is 101311213330233.

332033312113101 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 3 + 331 + 2 + 11 + 310 + 1 = 666.

It is not a de Polignac number, because 332033312113101 - 26 = 332033312113037 is a prime.

It is a super-2 number, since 2×3320333121131012 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332033312183101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6266545 + ... + 26520486.

It is an arithmetic number, because the mean of its divisors is an integer number (15476298779800).

Almost surely, 2332033312113101 is an apocalyptic number.

It is an amenable number.

332033312113101 is a deficient number, since it is larger than the sum of its proper divisors (163208248840499).

332033312113101 is a wasteful number, since it uses less digits than its factorization.

332033312113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32789586 (or 32789580 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 332033312113101 its reverse (101311213330233), we get a palindrome (433344525443334).

The spelling of 332033312113101 in words is "three hundred thirty-two trillion, thirty-three billion, three hundred twelve million, one hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 27 157 471 1413 2389 4239 7167 21501 64503 375073 1125219 3375657 10126971 32787031 98361093 295083279 885249837 5147563867 15442691601 46328074803 78328217059 138984224409 234984651177 704953953531 2114861860593 12297530078263 36892590234789 110677770704367 332033312113101