Search a number
-
+
332030001200310 = 232573189653292531
BaseRepresentation
bin100101101111110101100001…
…0010001101011110010110110
31121112121202110200001002012100
41023133223002101223302312
5322004434420301402220
63134100250554202530
7126636242645522550
oct11337530221536266
91545552420032170
10332030001200310
1196882150745186
12312a577b723446
13113363aa7a095a
145bdc4a2d104d0
15285bce03c9d90
hex12dfac246bcb6

332030001200310 has 384 divisors, whose sum is σ = 1031453041582080. Its totient is φ = 72507749529600.

The previous prime is 332030001200267. The next prime is 332030001200347. The reversal of 332030001200310 is 13002100030233.

332030001200310 is a `hidden beast` number, since 3 + 32 + 0 + 300 + 0 + 1 + 20 + 0 + 310 = 666.

It is a super-2 number, since 2×3320300012003102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1134878745 + ... + 1135171275.

It is an arithmetic number, because the mean of its divisors is an integer number (2686075629120).

Almost surely, 2332030001200310 is an apocalyptic number.

332030001200310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332030001200310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515726520791040).

332030001200310 is an abundant number, since it is smaller than the sum of its proper divisors (699423040381770).

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

332030001200310 is a wasteful number, since it uses less digits than its factorization.

332030001200310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293324 (or 293321 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 332030001200310 its reverse (13002100030233), we get a palindrome (345032101230543).

The spelling of 332030001200310 in words is "three hundred thirty-two trillion, thirty billion, one million, two hundred thousand, three hundred ten".