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213303133300 = 225219136182487
BaseRepresentation
bin1100011010100111011…
…0111000010001110100
3202101120110110212200011
43012221312320101310
511443321100231200
6241553510230004
721260564501125
oct3065166702164
9671513425604
10213303133300
1182509070144
123540a955304
1317164447b9a
14a476bd804c
1558363035ba
hex31a9db8474

213303133300 has 72 divisors (see below), whose sum is σ = 487593167040. Its totient is φ = 80770291200.

The previous prime is 213303133273. The next prime is 213303133301. The reversal of 213303133300 is 3331303312.

213303133300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213303133301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2544657 + ... + 2627143.

It is an arithmetic number, because the mean of its divisors is an integer number (6772127320).

Almost surely, 2213303133300 is an apocalyptic number.

213303133300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213303133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243796583520).

213303133300 is an abundant number, since it is smaller than the sum of its proper divisors (274290033740).

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

213303133300 is a wasteful number, since it uses less digits than its factorization.

213303133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83881 (or 83874 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 213303133300 its reverse (3331303312), we get a palindrome (216634436612).

The spelling of 213303133300 in words is "two hundred thirteen billion, three hundred three million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1361 1900 2722 5444 6805 13610 25859 27220 34025 51718 68050 82487 103436 129295 136100 164974 258590 329948 412435 517180 646475 824870 1292950 1567253 1649740 2062175 2585900 3134506 4124350 6269012 7836265 8248700 15672530 31345060 39181325 78362650 112264807 156725300 224529614 449059228 561324035 1122648070 2133031333 2245296140 2806620175 4266062666 5613240350 8532125332 10665156665 11226480700 21330313330 42660626660 53325783325 106651566650 213303133300