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1242400000335 = 351330012123053
BaseRepresentation
bin10010000101000100110…
…011111000100101001111
311101202211222210022000020
4102011010303320211033
5130323413400002320
62350430051433223
7155521554521244
oct22050463704517
94352758708006
101242400000335
1143999845798a
121809512b5813
13902089560c0
14441bd7555cb
15224b7248940
hex12144cf894f

1242400000335 has 32 divisors (see below), whose sum is σ = 2141465124288. Its totient is φ = 611438976000.

The previous prime is 1242400000333. The next prime is 1242400000339. The reversal of 1242400000335 is 5330000042421.

It is not a de Polignac number, because 1242400000335 - 21 = 1242400000333 is a prime.

It is a super-2 number, since 2×12424000003352 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242400000333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476332 + ... + 1646721.

It is an arithmetic number, because the mean of its divisors is an integer number (66920785134).

Almost surely, 21242400000335 is an apocalyptic number.

1242400000335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1242400000335 is a deficient number, since it is larger than the sum of its proper divisors (899065123953).

1242400000335 is a wasteful number, since it uses less digits than its factorization.

1242400000335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126075.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 1242400000335 its reverse (5330000042421), we get a palindrome (6572400042756).

The spelling of 1242400000335 in words is "one trillion, two hundred forty-two billion, four hundred million, three hundred thirty-five", and thus it is an aban number.

Divisors: 1 3 5 13 15 39 65 195 3001 9003 15005 39013 45015 117039 195065 585195 2123053 6369159 10615265 27599689 31845795 82799067 137998445 413995335 6371282053 19113846159 31856410265 82826666689 95569230795 248480000067 414133333445 1242400000335