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3042000302031 = 332329315448889
BaseRepresentation
bin101100010001000101010…
…110001110111111001111
3101202210221020020200111000
4230101011112032333033
5344320004034131111
610245250423431343
7432530413635165
oct54210526167717
911683836220430
103042000302031
11a73117958299
124116878b5553
13190b23134122
14a733addb235
15541e1b4cc56
hex2c44558efcf

3042000302031 has 64 divisors (see below), whose sum is σ = 5021697024000. Its totient is φ = 1812518104320.

The previous prime is 3042000301979. The next prime is 3042000302051. The reversal of 3042000302031 is 1302030002403.

It is not a de Polignac number, because 3042000302031 - 214 = 3042000285647 is a prime.

It is a super-2 number, since 2×30420003020312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3042000301995 and 3042000302013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042000302051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2166166 + ... + 3282723.

It is an arithmetic number, because the mean of its divisors is an integer number (78464016000).

Almost surely, 23042000302031 is an apocalyptic number.

3042000302031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3042000302031 is a deficient number, since it is larger than the sum of its proper divisors (1979696721969).

3042000302031 is a wasteful number, since it uses less digits than its factorization.

3042000302031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448981 (or 5448975 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3042000302031 its reverse (1302030002403), we get a palindrome (4344030304434).

The spelling of 3042000302031 in words is "three trillion, forty-two billion, three hundred two thousand, thirty-one".

Divisors: 1 3 9 23 27 29 31 69 87 93 207 261 279 621 667 713 783 837 899 2001 2139 2697 6003 6417 8091 18009 19251 20677 24273 62031 186093 558279 5448889 16346667 49040001 125324447 147120003 158017781 168915559 375973341 474053343 506746677 1127920023 1422160029 1520240031 3383760069 3634408963 3885057857 4266480087 4560720093 4898551211 10903226889 11655173571 14695653633 32709680667 34965520713 44086960899 98129042001 104896562139 112666677853 132260882697 338000033559 1014000100677 3042000302031