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213332132300 = 225272313250443
BaseRepresentation
bin1100011010101110010…
…1100000000111001100
3202101122111001011211012
43012223211200013030
511443401011213200
6242000423544352
721261366130250
oct3065345400714
9671574034735
10213332132300
1182523477561
12354185bb0b8
131716a45c361
14a47a9c6260
155838b30a35
hex31ab9601cc

213332132300 has 72 divisors (see below), whose sum is σ = 552066498816. Its totient is φ = 69962333760.

The previous prime is 213332132207. The next prime is 213332132317. The reversal of 213332132300 is 3231233312.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 6609122 + ... + 6641321.

Almost surely, 2213332132300 is an apocalyptic number.

213332132300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213332132300 is an abundant number, since it is smaller than the sum of its proper divisors (338734366516).

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

213332132300 is a wasteful number, since it uses less digits than its factorization.

213332132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13250487 (or 13250480 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 213332132300 its reverse (3231233312), we get a palindrome (216563365612).

The spelling of 213332132300 in words is "two hundred thirteen billion, three hundred thirty-two million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 13250443 26500886 53001772 66252215 92753101 132504430 185506202 265008860 304760189 331261075 371012404 463765505 609520378 662522150 927531010 1219040756 1325044300 1523800945 1855062020 2133321323 2318827525 3047601890 4266642646 4637655050 6095203780 7619004725 8533285292 9275310100 10666606615 15238009450 21333213230 30476018900 42666426460 53333033075 106666066150 213332132300