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212003203120 = 24529127719533
BaseRepresentation
bin1100010101110001100…
…0000010100000110000
3202021012212102120200221
43011130120002200300
511433140304444440
6241220512222424
721213431331202
oct3053430024060
9667185376627
10212003203120
1181a01310385
123510753aa14
1316cb8035927
14a3922d4772
1557ac128d4a
hex315c602830

212003203120 has 80 divisors (see below), whose sum is σ = 513919964160. Its totient is φ = 81232284672.

The previous prime is 212003203117. The next prime is 212003203127. The reversal of 212003203120 is 21302300212.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 212003203094 and 212003203103.

It is not an unprimeable number, because it can be changed into a prime (212003203127) 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 15 ways as a sum of consecutive naturals, for example, 65127 + ... + 654406.

It is an arithmetic number, because the mean of its divisors is an integer number (6423999552).

Almost surely, 2212003203120 is an apocalyptic number.

212003203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212003203120 is an abundant number, since it is smaller than the sum of its proper divisors (301916761040).

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

212003203120 is a wasteful number, since it uses less digits than its factorization.

212003203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719702 (or 719696 counting only the distinct ones).

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

Adding to 212003203120 its reverse (21302300212), we get a palindrome (233305503332).

The spelling of 212003203120 in words is "two hundred twelve billion, three million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 127 145 232 254 290 464 508 580 635 1016 1160 1270 2032 2320 2540 3683 5080 7366 10160 14732 18415 29464 36830 58928 73660 147320 294640 719533 1439066 2878132 3597665 5756264 7195330 11512528 14390660 20866457 28781320 41732914 57562640 83465828 91380691 104332285 166931656 182761382 208664570 333863312 365522764 417329140 456903455 731045528 834658280 913806910 1462091056 1669316560 1827613820 2650040039 3655227640 5300080078 7310455280 10600160156 13250200195 21200320312 26500400390 42400640624 53000800780 106001601560 212003203120