Search a number
-
+
120220301021130 = 232519411759974837
BaseRepresentation
bin11011010101011011111000…
…010101100100111111001010
3120202122221121111000110001100
4123111123320111210333022
5111224142134030134010
61103404235512202230
734215426063026532
oct3325337025447712
9522587544013040
10120220301021130
1135340163876022
12115975bb699376
1352109585bb28b
14219899d3d44c2
15dd7314ea72c0
hex6d56f8564fca

120220301021130 has 192 divisors, whose sum is σ = 337240916812800. Its totient is φ = 29613801968640.

The previous prime is 120220301021113. The next prime is 120220301021131. The reversal of 120220301021130 is 31120103022021.

120220301021130 is a `hidden beast` number, since 12 + 0 + 220 + 301 + 0 + 2 + 1 + 130 = 666.

It is a super-2 number, since 2×1202203010211302 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120220301021131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122836072 + ... + 123810908.

It is an arithmetic number, because the mean of its divisors is an integer number (1756463108400).

Almost surely, 2120220301021130 is an apocalyptic number.

120220301021130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120220301021130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168620458406400).

120220301021130 is an abundant number, since it is smaller than the sum of its proper divisors (217020615791670).

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

120220301021130 is a wasteful number, since it uses less digits than its factorization.

120220301021130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976669 (or 976666 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120220301021130 its reverse (31120103022021), we get a palindrome (151340404043151).

The spelling of 120220301021130 in words is "one hundred twenty trillion, two hundred twenty billion, three hundred one million, twenty-one thousand, one hundred thirty".