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213423131400 = 233522571384067
BaseRepresentation
bin1100011011000100000…
…0101000101100001000
3202101212211021102010020
43012301000220230020
511444042310201100
6242013434220440
721263552453613
oct3066100505410
9671784242106
10213423131400
118256a880526
1235442b84720
1317183270c8b
14a488b1317a
155841b085a0
hex31b1028b08

213423131400 has 96 divisors (see below), whose sum is σ = 664186551840. Its totient is φ = 56691343360.

The previous prime is 213423131377. The next prime is 213423131401. The reversal of 213423131400 is 4131324312.

It is a happy number.

213423131400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213423131401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537834 + ... + 846233.

It is an arithmetic number, because the mean of its divisors is an integer number (6918609915).

Almost surely, 2213423131400 is an apocalyptic number.

213423131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213423131400 is an abundant number, since it is smaller than the sum of its proper divisors (450763420440).

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

213423131400 is a wasteful number, since it uses less digits than its factorization.

213423131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384343 (or 1384334 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213423131400 its reverse (4131324312), we get a palindrome (217554455712).

The spelling of 213423131400 in words is "two hundred thirteen billion, four hundred twenty-three million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 257 300 514 600 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 6425 7710 10280 12850 15420 19275 25700 30840 38550 51400 77100 154200 1384067 2768134 4152201 5536268 6920335 8304402 11072536 13840670 16608804 20761005 27681340 33217608 34601675 41522010 55362680 69203350 83044020 103805025 138406700 166088040 207610050 276813400 355705219 415220100 711410438 830440200 1067115657 1422820876 1778526095 2134231314 2845641752 3557052190 4268462628 5335578285 7114104380 8536925256 8892630475 10671156570 14228208760 17785260950 21342313140 26677891425 35570521900 42684626280 53355782850 71141043800 106711565700 213423131400