Search a number
-
+
332330203123121 = 7219335141186753
BaseRepresentation
bin100101110010000001010011…
…1101101001000110110110001
31121120200110100020220211222002
41023210002213231020312301
5322024344223444414441
63134450215423223345
7130000031145001400
oct11344024755106661
91546613306824862
10332330203123121
11969884a1918035
12313339a0747b55
13113587b03aaac8
145c0cc20bb5637
152864a10672b9b
hex12e40a7b48db1

332330203123121 has 12 divisors (see below), whose sum is σ = 388591243125732. Its totient is φ = 283378529968128.

The previous prime is 332330203123067. The next prime is 332330203123147. The reversal of 332330203123121 is 121321302033233.

It can be written as a sum of positive squares in 2 ways, for example, as 218770574901025 + 113559628222096 = 14790895^2 + 10656436^2 .

It is a de Polignac number, because none of the positive numbers 2k-332330203123121 is a prime.

It is a super-2 number, since 2×3323302031231212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332330203123021) 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 11 ways as a sum of consecutive naturals, for example, 17570583920 + ... + 17570602833.

It is an arithmetic number, because the mean of its divisors is an integer number (32382603593811).

Almost surely, 2332330203123121 is an apocalyptic number.

It is an amenable number.

332330203123121 is a deficient number, since it is larger than the sum of its proper divisors (56261040002611).

332330203123121 is a wasteful number, since it uses less digits than its factorization.

332330203123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35141186960 (or 35141186953 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 332330203123121 its reverse (121321302033233), we get a palindrome (453651505156354).

The spelling of 332330203123121 in words is "three hundred thirty-two trillion, three hundred thirty billion, two hundred three million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 7 49 193 1351 9457 35141186753 245988307271 1721918150897 6782249043329 47475743303303 332330203123121