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230111131200 = 2635247939819
BaseRepresentation
bin1101011001001110110…
…0010011011001000000
3210222221211200122012220
43112103230103121000
512232231422144300
6253413412051040
722424240225346
oct3262354233100
9728854618186
10230111131200
11896538097a5
123871b903a80
1318912724482
14b1cd1b7996
155ebbc00da0
hex3593b13640

230111131200 has 84 divisors (see below), whose sum is σ = 754956285360. Its totient is φ = 61362967040.

The previous prime is 230111131189. The next prime is 230111131213. The reversal of 230111131200 is 2131111032.

It is a happy number.

It is a super-2 number, since 2×2301111312002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230111131200.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23965110 + ... + 23974709.

Almost surely, 2230111131200 is an apocalyptic number.

230111131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230111131200 is an abundant number, since it is smaller than the sum of its proper divisors (524845154160).

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

230111131200 is a wasteful number, since it uses less digits than its factorization.

230111131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47939844 (or 47939829 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 230111131200 its reverse (2131111032), we get a palindrome (232242242232).

The spelling of 230111131200 in words is "two hundred thirty billion, one hundred eleven million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 47939819 95879638 143819457 191759276 239699095 287638914 383518552 479398190 575277828 719097285 767037104 958796380 1150555656 1198495475 1438194570 1534074208 1917592760 2301111312 2396990950 2876389140 3068148416 3595486425 3835185520 4602222624 4793981900 5752778280 7190972850 7670371040 9204445248 9587963800 11505556560 14381945700 15340742080 19175927600 23011113120 28763891400 38351855200 46022226240 57527782800 76703710400 115055565600 230111131200