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230022311300000 = 25552300223113
BaseRepresentation
bin110100010011010000111110…
…001001111100101110100000
31010011102220210100222021211222
4310103100332021330232200
5220122141143143100000
62133114442505154212
766310364206644632
oct6423207611745640
91104386710867758
10230022311300000
1167323a0707230a
122196ba4678b968
139b4701aba639b
1440b31d4226a52
151b8d61c988a85
hexd1343e27cba0

230022311300000 has 72 divisors (see below), whose sum is σ = 566034303446892. Its totient is φ = 92008924480000.

The previous prime is 230022311299961. The next prime is 230022311300039. The reversal of 230022311300000 is 3113220032.

It is an interprime number because it is at equal distance from previous prime (230022311299961) and next prime (230022311300039).

It can be written as a sum of positive squares in 6 ways, for example, as 89836806019984 + 140185505280016 = 9478228^2 + 11839996^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1150011557 + ... + 1150211556.

Almost surely, 2230022311300000 is an apocalyptic number.

230022311300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230022311300000 is an abundant number, since it is smaller than the sum of its proper divisors (336011992146892).

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

230022311300000 is an frugal number, since it uses more digits than its factorization.

230022311300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300223148 (or 2300223120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 230022311300000 its reverse (3113220032), we get a palindrome (230025424520032).

The spelling of 230022311300000 in words is "two hundred thirty trillion, twenty-two billion, three hundred eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 2300223113 4600446226 9200892452 11501115565 18401784904 23002231130 36803569808 46004462260 57505577825 73607139616 92008924520 115011155650 184017849040 230022311300 287527889125 368035698080 460044622600 575055778250 920089245200 1150111556500 1437639445625 1840178490400 2300223113000 2875278891250 4600446226000 5750557782500 7188197228125 9200892452000 11501115565000 14376394456250 23002231130000 28752788912500 46004462260000 57505577825000 115011155650000 230022311300000