Search a number
-
+
2300011331000 = 235310721495433
BaseRepresentation
bin100001011110000011010…
…110111011110110111000
322010212201202002112220212
4201132003112323312320
5300140410400043000
64520335521010252
7325112265512405
oct41360326736670
98125652075825
102300011331000
1180747a487249
12311911183988
13138b7582c5c6
147d46d3012ac
153ec66678c35
hex217835bbdb8

2300011331000 has 64 divisors (see below), whose sum is σ = 5432326080480. Its totient is φ = 911406316800.

The previous prime is 2300011330997. The next prime is 2300011331003. The reversal of 2300011331000 is 1331100032.

It is an interprime number because it is at equal distance from previous prime (2300011330997) and next prime (2300011331003).

It is a super-3 number, since 3×23000113310003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300011331003) 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 15 ways as a sum of consecutive naturals, for example, 10640717 + ... + 10854716.

Almost surely, 22300011331000 is an apocalyptic number.

2300011331000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300011331000 is an abundant number, since it is smaller than the sum of its proper divisors (3132314749480).

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

2300011331000 is a wasteful number, since it uses less digits than its factorization.

2300011331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21495561 (or 21495547 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 2300011331000 its reverse (1331100032), we get a palindrome (2301342431032).

The spelling of 2300011331000 in words is "two trillion, three hundred billion, eleven million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 10700 13375 21400 26750 53500 107000 21495433 42990866 85981732 107477165 171963464 214954330 429908660 537385825 859817320 1074771650 2149543300 2300011331 2686929125 4299086600 4600022662 5373858250 9200045324 10747716500 11500056655 18400090648 21495433000 23000113310 46000226620 57500283275 92000453240 115000566550 230001133100 287501416375 460002266200 575002832750 1150005665500 2300011331000