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213421033300 = 225223352117581
BaseRepresentation
bin1100011011000011100…
…0101000011101010100
3202101212200022211001211
43012300320220131110
511444041241031200
6242013321231204
721263525564656
oct3066070503524
9671780284054
10213421033300
1182569678162
1235442332504
13171829b7cb7
14a4887286d6
155841841aba
hex31b0e28754

213421033300 has 72 divisors (see below), whose sum is σ = 466030531512. Its totient is φ = 84834048000.

The previous prime is 213421033277. The next prime is 213421033363. The reversal of 213421033300 is 3330124312.

It can be written as a sum of positive squares in 12 ways, for example, as 137554941456 + 75866091844 = 370884^2 + 275438^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12130510 + ... + 12148090.

It is an arithmetic number, because the mean of its divisors is an integer number (6472646271).

Almost surely, 2213421033300 is an apocalyptic number.

213421033300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213421033300 is an abundant number, since it is smaller than the sum of its proper divisors (252609498212).

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

213421033300 is a wasteful number, since it uses less digits than its factorization.

213421033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18349 (or 18342 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213421033300 its reverse (3330124312), we get a palindrome (216751157612).

The spelling of 213421033300 in words is "two hundred thirteen billion, four hundred twenty-one million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 521 932 1042 1165 2084 2330 2605 4660 5210 5825 10420 11650 13025 17581 23300 26050 35162 52100 70324 87905 121393 175810 242786 351620 439525 485572 606965 879050 1213930 1758100 2427860 3034825 4096373 6069650 8192746 9159701 12139300 16385492 18319402 20481865 36638804 40963730 45798505 81927460 91597010 102409325 183194020 204818650 228992525 409637300 457985050 915970100 2134210333 4268420666 8536841332 10671051665 21342103330 42684206660 53355258325 106710516650 213421033300