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213113220300 = 223252792997373
BaseRepresentation
bin1100011001111010001…
…0011010110011001100
3202101002020010022000100
43012132202122303030
511442423441022200
6241523003531100
721253100324661
oct3063642326314
9671066108010
10213113220300
1182420947752
1235377229a90
1317133cb2c26
14a4598bda68
1558247dcd00
hex319e89accc

213113220300 has 108 divisors (see below), whose sum is σ = 676447364320. Its totient is φ = 56110803840.

The previous prime is 213113220283. The next prime is 213113220317. The reversal of 213113220300 is 3022311312.

213113220300 is a `hidden beast` number, since 2 + 1 + 311 + 32 + 20 + 300 = 666.

213113220300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213113220283) and next prime (213113220317).

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1427587 + ... + 1569786.

Almost surely, 2213113220300 is an apocalyptic number.

213113220300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213113220300 is an abundant number, since it is smaller than the sum of its proper divisors (463334144020).

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

213113220300 is a wasteful number, since it uses less digits than its factorization.

213113220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997472 (or 2997462 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213113220300 its reverse (3022311312), we get a palindrome (216135531612).

The spelling of 213113220300 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 79 90 100 150 158 180 225 237 300 316 395 450 474 711 790 900 948 1185 1422 1580 1975 2370 2844 3555 3950 4740 5925 7110 7900 11850 14220 17775 23700 35550 71100 2997373 5994746 8992119 11989492 14986865 17984238 26976357 29973730 35968476 44960595 53952714 59947460 74934325 89921190 107905428 134881785 149868650 179842380 224802975 236792467 269763570 299737300 449605950 473584934 539527140 674408925 710377401 899211900 947169868 1183962335 1348817850 1420754802 2131132203 2367924670 2697635700 2841509604 3551887005 4262264406 4735849340 5919811675 7103774010 8524528812 10655661015 11839623350 14207548020 17759435025 21311322030 23679246700 35518870050 42622644060 53278305075 71037740100 106556610150 213113220300