Search a number
-
+
35331441512130 = 2325191117148312473
BaseRepresentation
bin10000000100010001111100…
…00001010100111011000010
311122002122121220111012220200
420002020332001110323002
514112332243011342010
6203051012401350030
710304420025462111
oct1002107601247302
9148078556435820
1035331441512130
1110291a86710285
123b67578338316
13169398224b85a
148a209d919c78
154140ba127cc0
hex20223e054ec2

35331441512130 has 192 divisors, whose sum is σ = 96856171251840. Its totient is φ = 8911119080448.

The previous prime is 35331441512117. The next prime is 35331441512137. The reversal of 35331441512130 is 3121514413353.

35331441512130 is a `hidden beast` number, since 3 + 5 + 3 + 3 + 1 + 4 + 4 + 1 + 512 + 130 = 666.

It is not an unprimeable number, because it can be changed into a prime (35331441512137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2832627574 + ... + 2832640046.

It is an arithmetic number, because the mean of its divisors is an integer number (504459225270).

Almost surely, 235331441512130 is an apocalyptic number.

35331441512130 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 35331441512130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48428085625920).

35331441512130 is an abundant number, since it is smaller than the sum of its proper divisors (61524729739710).

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

35331441512130 is a wasteful number, since it uses less digits than its factorization.

35331441512130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15105 (or 15102 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 35331441512130 its reverse (3121514413353), we get a palindrome (38452955925483).

The spelling of 35331441512130 in words is "thirty-five trillion, three hundred thirty-one billion, four hundred forty-one million, five hundred twelve thousand, one hundred thirty".