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332102242201233 = 3723761059430447
BaseRepresentation
bin100101110000010111001010…
…0001011001110111010010001
31121112212122221021020011102010
41023200232110023032322101
5322012130343000414413
63134153355221413133
7126644411104065600
oct11340562413167221
91545778837204363
10332102242201233
11968aa851920429
12312b7780b6a1a9
13113401512a3c4a
145c01b973d7a37
15285db1c605dc3
hex12e0b942cee91

332102242201233 has 24 divisors (see below), whose sum is σ = 529018905401472. Its totient is φ = 184643717668704.

The previous prime is 332102242201189. The next prime is 332102242201241.

332102242201233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332102242201233 - 213 = 332102242193041 is a prime.

It is a super-2 number, since 2×3321022422012332 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332102242201233.

It is not an unprimeable number, because it can be changed into a prime (332102242201273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30529709785 + ... + 30529720662.

It is an arithmetic number, because the mean of its divisors is an integer number (22042454391728).

Almost surely, 2332102242201233 is an apocalyptic number.

It is an amenable number.

332102242201233 is a deficient number, since it is larger than the sum of its proper divisors (196916663200239).

332102242201233 is a wasteful number, since it uses less digits than its factorization.

332102242201233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61059430501 (or 61059430494 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 332102242201233 in words is "three hundred thirty-two trillion, one hundred two billion, two hundred forty-two million, two hundred one thousand, two hundred thirty-three".

Divisors: 1 3 7 21 37 49 111 147 259 777 1813 5439 61059430447 183178291341 427416013129 1282248039387 2259198926539 2991912091903 6777596779617 8975736275709 15814392485773 47443177457319 110700747400411 332102242201233