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332021230133120 = 27511293552729123
BaseRepresentation
bin100101101111110001011011…
…1011110101101111110000000
31121112120220211101201200221222
41023133202313132231332000
5322004313434403224440
63134052240351534212
7126635512412631233
oct11337426736557600
91545526741650858
10332021230133120
119687945a6a8620
12312a3b3222a368
1311335610597c78
145bdbcb008d41a
15285b97a3702b5
hex12df8b77adf80

332021230133120 has 256 divisors, whose sum is σ = 869038594260480. Its totient is φ = 120297027133440.

The previous prime is 332021230133111. The next prime is 332021230133141. The reversal of 332021230133120 is 21331032120233.

It is a super-2 number, since 2×3320212301331202 (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 332021230133120.

It is a congruent number.

It is an unprimeable number.

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, 11400638879 + ... + 11400668001.

It is an arithmetic number, because the mean of its divisors is an integer number (3394682008830).

Almost surely, 2332021230133120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332021230133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434519297130240).

332021230133120 is an abundant number, since it is smaller than the sum of its proper divisors (537017364127360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332021230133120 is a wasteful number, since it uses less digits than its factorization.

332021230133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34973 (or 34961 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 332021230133120 its reverse (21331032120233), we get a palindrome (353352262253353).

The spelling of 332021230133120 in words is "three hundred thirty-two trillion, twenty-one billion, two hundred thirty million, one hundred thirty-three thousand, one hundred twenty".