Search a number
-
+
1204002340401 = 37701488916729
BaseRepresentation
bin10001100001010100001…
…000011011111000110001
311021002201222211001212010
4101201110020123320301
5124211244044343101
62321035552353133
7152662205014650
oct21412410337061
94232658731763
101204002340401
11424683a29733
12175415b457a9
13896c9848773
14423b9ccb197
15214bb2742d6
hex1185421be31

1204002340401 has 32 divisors (see below), whose sum is σ = 1837773100800. Its totient is φ = 686838297600.

The previous prime is 1204002340397. The next prime is 1204002340417. The reversal of 1204002340401 is 1040432004021.

It is not a de Polignac number, because 1204002340401 - 22 = 1204002340397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1204002340201) 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 31 ways as a sum of consecutive naturals, for example, 71962605 + ... + 71979333.

It is an arithmetic number, because the mean of its divisors is an integer number (57430409400).

Almost surely, 21204002340401 is an apocalyptic number.

It is an amenable number.

1204002340401 is a deficient number, since it is larger than the sum of its proper divisors (633770760399).

1204002340401 is a wasteful number, since it uses less digits than its factorization.

1204002340401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22329.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1204002340401 its reverse (1040432004021), we get a palindrome (2244434344422).

It can be divided in two parts, 1204002 and 340401, that added together give a triangular number (1544403 = T1757).

The spelling of 1204002340401 in words is "one trillion, two hundred four billion, two million, three hundred forty thousand, four hundred one".

Divisors: 1 3 7 21 701 2103 4889 4907 14667 14721 16729 34223 50187 102669 117103 351309 3427189 10281567 11727029 23990323 35181087 71970969 81788081 82089203 245364243 246267609 572516567 1717549701 57333444781 172000334343 401334113467 1204002340401