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212102010320 = 2455934470953
BaseRepresentation
bin1100010110001001000…
…0111101010111010000
3202021110202100111200212
43011202100331113100
511433341103312240
6241234402103252
721216041224634
oct3054220752720
9667422314625
10212102010320
1181a52067722
123513464ab28
131700264c525
14a3a1494dc4
1557b5b45165
hex316243d5d0

212102010320 has 40 divisors (see below), whose sum is σ = 493968881736. Its totient is φ = 84697714688.

The previous prime is 212102010299. The next prime is 212102010359. The reversal of 212102010320 is 23010201212.

It is a happy number.

212102010320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32658272656 + 179443737664 = 180716^2 + 423608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 212102010295 and 212102010304.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2188037 + ... + 2282916.

Almost surely, 2212102010320 is an apocalyptic number.

212102010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102010320 is an abundant number, since it is smaller than the sum of its proper divisors (281866871416).

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

212102010320 is a wasteful number, since it uses less digits than its factorization.

212102010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471559 (or 4471553 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212102010320 its reverse (23010201212), we get a palindrome (235112211532).

The spelling of 212102010320 in words is "two hundred twelve billion, one hundred two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 593 1186 2372 2965 4744 5930 9488 11860 23720 47440 4470953 8941906 17883812 22354765 35767624 44709530 71535248 89419060 178838120 357676240 2651275129 5302550258 10605100516 13256375645 21210201032 26512751290 42420402064 53025502580 106051005160 212102010320