Search a number
-
+
332301332100231 = 33132193832904623
BaseRepresentation
bin100101110001110011110111…
…0110110111011010010000111
31121120120200211011222221001000
41023203213232312323102013
5322023411112004201411
63134425042521104343
7126664656534234114
oct11343475666732207
91546520734887030
10332301332100231
119697722699023a
123132a2839280b3
1311355b5bba0c00
145c0b68268d90b
152863dc0c05956
hex12e39eedbb487

332301332100231 has 48 divisors (see below), whose sum is σ = 561137236953600. Its totient is φ = 193730331214368.

The previous prime is 332301332100203. The next prime is 332301332100247. The reversal of 332301332100231 is 132001233103233.

332301332100231 is a `hidden beast` number, since 3 + 3 + 2 + 301 + 3 + 321 + 0 + 0 + 2 + 31 = 666.

It is not a de Polignac number, because 332301332100231 - 29 = 332301332099719 is a prime.

It is a super-2 number, since 2×3323013321002312 (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 junction number, because it is equal to n+sod(n) for n = 332301332100195 and 332301332100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332301332100251) 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 47 ways as a sum of consecutive naturals, for example, 1916365615 + ... + 1916539008.

It is an arithmetic number, because the mean of its divisors is an integer number (11690359103200).

Almost surely, 2332301332100231 is an apocalyptic number.

332301332100231 is a deficient number, since it is larger than the sum of its proper divisors (228835904853369).

332301332100231 is a wasteful number, since it uses less digits than its factorization.

332301332100231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832904677 (or 3832904658 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 332301332100231 its reverse (132001233103233), we get a palindrome (464302565203464).

The spelling of 332301332100231 in words is "three hundred thirty-two trillion, three hundred one billion, three hundred thirty-two million, one hundred thousand, two hundred thirty-one".

Divisors: 1 3 9 13 19 27 39 57 117 169 171 247 351 507 513 741 1521 2223 3211 4563 6669 9633 28899 86697 3832904623 11498713869 34496141607 49827760099 72825187837 103488424821 149483280297 218475563511 448449840891 647760881287 655426690533 946727441881 1345349522673 1943282643861 1966280071599 2840182325643 5829847931583 8520546976929 12307456744453 17489543794749 25561640930787 36922370233359 110767110700077 332301332100231