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213300124000 = 2553431240117
BaseRepresentation
bin1100011010100110101…
…1011001100101100000
3202101120020210222200121
43012221223121211200
511443314312432000
6241553321530024
721260530065505
oct3065153314540
9671506728617
10213300124000
11825073a5217
1235409943914
1317163933232
14a4766534ac
155835e0bb1a
hex31a9ad9960

213300124000 has 96 divisors (see below), whose sum is σ = 536266706976. Its totient is φ = 83335795200.

The previous prime is 213300123983. The next prime is 213300124007. The reversal of 213300124000 is 421003312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213300124007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448059 + ... + 792058.

It is an arithmetic number, because the mean of its divisors is an integer number (5586111531).

Almost surely, 2213300124000 is an apocalyptic number.

213300124000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213300124000 is an abundant number, since it is smaller than the sum of its proper divisors (322966582976).

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

213300124000 is a wasteful number, since it uses less digits than its factorization.

213300124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240185 (or 1240167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213300124000 its reverse (421003312), we get a palindrome (213721127312).

The spelling of 213300124000 in words is "two hundred thirteen billion, three hundred million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 86000 172000 1240117 2480234 4960468 6200585 9920936 12401170 19841872 24802340 31002925 39683744 49604680 53325031 62005850 99209360 106650062 124011700 155014625 198418720 213300124 248023400 266625155 310029250 426600248 496046800 533250310 620058500 853200496 992093600 1066500620 1240117000 1333125775 1706400992 2133001240 2480234000 2666251550 4266002480 4960468000 5332503100 6665628875 8532004960 10665006200 13331257750 21330012400 26662515500 42660024800 53325031000 106650062000 213300124000