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230132220300 = 223252435946569
BaseRepresentation
bin1101011001010011110…
…0110000000110001100
3211000000022101002000200
43112110330300012030
512232302322022200
6253415444053500
722424614411533
oct3262474600614
9730008332020
10230132220300
1189664703304
1238726994290
1318916bc9528
14b1d1d0731a
155ebd9b9800
hex3594f3018c

230132220300 has 108 divisors (see below), whose sum is σ = 738112054680. Its totient is φ = 59941405440.

The previous prime is 230132220281. The next prime is 230132220323. The reversal of 230132220300 is 3022231032.

It is a happy number.

230132220300 is a `hidden beast` number, since 23 + 0 + 1 + 322 + 20 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 2934585 + ... + 3011984.

Almost surely, 2230132220300 is an apocalyptic number.

230132220300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230132220300 is an abundant number, since it is smaller than the sum of its proper divisors (507979834380).

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

230132220300 is a wasteful number, since it uses less digits than its factorization.

230132220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946632 (or 5946622 counting only the distinct ones).

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

Adding to 230132220300 its reverse (3022231032), we get a palindrome (233154451332).

The spelling of 230132220300 in words is "two hundred thirty billion, one hundred thirty-two million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 387 430 450 516 645 774 860 900 1075 1290 1548 1935 2150 2580 3225 3870 4300 6450 7740 9675 12900 19350 38700 5946569 11893138 17839707 23786276 29732845 35679414 53519121 59465690 71358828 89198535 107038242 118931380 148664225 178397070 214076484 255702467 267595605 297328450 356794140 445992675 511404934 535191210 594656900 767107401 891985350 1022809868 1070382420 1278512335 1337978025 1534214802 1783970700 2301322203 2557024670 2675956050 3068429604 3835537005 4602644406 5114049340 5351912100 6392561675 7671074010 9205288812 11506611015 12785123350 15342148020 19177685025 23013222030 25570246700 38355370050 46026444060 57533055075 76710740100 115066110150 230132220300