Search a number
-
+
312302110030020 = 2232511434969738197
BaseRepresentation
bin100011100000010011000000…
…0010101001011100011000100
31111221202210100000100100102200
41013000212000111023203010
5311413224210131430040
63024113335252434500
7122532040264415115
oct10700460025134304
91457683300310380
10312302110030020
119056664345a390
122b03a2a8918a30
1310534c68b13576
14571970789420c
152618a642d7630
hex11c098054b8c4

312302110030020 has 288 divisors, whose sum is σ = 1057683716369280. Its totient is φ = 73933931796480.

The previous prime is 312302110029997. The next prime is 312302110030061. The reversal of 312302110030020 is 20030011203213.

312302110030020 is a `hidden beast` number, since 3 + 1 + 230 + 2 + 110 + 0 + 300 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312302110029975 and 312302110030002.

It is an unprimeable number.

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, 422691562 + ... + 423429758.

It is an arithmetic number, because the mean of its divisors is an integer number (3672512904060).

Almost surely, 2312302110030020 is an apocalyptic number.

312302110030020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312302110030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528841858184640).

312302110030020 is an abundant number, since it is smaller than the sum of its proper divisors (745381606339260).

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

312302110030020 is a wasteful number, since it uses less digits than its factorization.

312302110030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743235 (or 743230 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312302110030020 its reverse (20030011203213), we get a palindrome (332332121233233).

The spelling of 312302110030020 in words is "three hundred twelve trillion, three hundred two billion, one hundred ten million, thirty thousand, twenty".