Search a number
-
+
332002021123333 = 11292153312340893
BaseRepresentation
bin100101101111101000011111…
…0100010001010010100000101
31121112112002020200120220022001
41023133100332202022110011
5322004010114401421313
63134035342320105301
7126634232404014241
oct11337207642122405
91545462220526261
10332002021123333
11968712a2716220
12312a0271165231
131133386ba3a2a2
145bdadaac69421
15285b203c9badd
hex12df43e88a505

332002021123333 has 24 divisors (see below), whose sum is σ = 375128413317216. Its totient is φ = 291393299803200.

The previous prime is 332002021123313. The next prime is 332002021123337. The reversal of 332002021123333 is 333321120200233.

It is a de Polignac number, because none of the positive numbers 2k-332002021123333 is a prime.

It is a super-2 number, since 2×3320020211233332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332002021123337) 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, 140656635 + ... + 142997527.

It is an arithmetic number, because the mean of its divisors is an integer number (15630350554884).

Almost surely, 2332002021123333 is an apocalyptic number.

It is an amenable number.

332002021123333 is a deficient number, since it is larger than the sum of its proper divisors (43126392193883).

332002021123333 is a wasteful number, since it uses less digits than its factorization.

332002021123333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356293 (or 2356264 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 332002021123333 its reverse (333321120200233), we get a palindrome (665323141323566).

The spelling of 332002021123333 in words is "three hundred thirty-two trillion, two billion, twenty-one million, one hundred twenty-three thousand, three hundred thirty-three".

Divisors: 1 11 29 319 841 9251 15331 168641 444599 2340893 4890589 12893371 25749823 67885897 141827081 746744867 1968691013 21655601143 35888230583 394770536413 1040758686907 11448345555977 30182001920303 332002021123333