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212210101202320 = 24513601339514433
BaseRepresentation
bin110000010000000100000011…
…101100110010110110010000
31000211101002100211012002110201
4300100010003230302312100
5210303322241401433240
62031155550305304544
762461450064146504
oct6020040354626620
91024332324162421
10212210101202320
1161686886906141
121b9738a5635154
13915443292cc10
143a5904906c304
151980112132d9a
hexc10103b32d90

212210101202320 has 80 divisors (see below), whose sum is σ = 532225542853872. Its totient is φ = 78224125132800.

The previous prime is 212210101202279. The next prime is 212210101202327. The reversal of 212210101202320 is 23202101012212.

It can be written as a sum of positive squares in 8 ways, for example, as 9700807910544 + 202509293291776 = 3114612^2 + 14230576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (212210101202327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 169132177 + ... + 170382256.

Almost surely, 2212210101202320 is an apocalyptic number.

212210101202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210101202320 is an abundant number, since it is smaller than the sum of its proper divisors (320015441651552).

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

212210101202320 is a wasteful number, since it uses less digits than its factorization.

212210101202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339515060 (or 339515054 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 212210101202320 its reverse (23202101012212), we get a palindrome (235412202214532).

The spelling of 212210101202320 in words is "two hundred twelve trillion, two hundred ten billion, one hundred one million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 601 1040 1202 2404 3005 4808 6010 7813 9616 12020 15626 24040 31252 39065 48080 62504 78130 125008 156260 312520 625040 339514433 679028866 1358057732 1697572165 2716115464 3395144330 4413687629 5432230928 6790288660 8827375258 13580577320 17654750516 22068438145 27161154640 35309501032 44136876290 70619002064 88273752580 176547505160 204048174233 353095010320 408096348466 816192696932 1020240871165 1632385393864 2040481742330 2652626265029 3264770787728 4080963484660 5305252530058 8161926969320 10610505060116 13263131325145 16323853938640 21221010120232 26526262650290 42442020240464 53052525300580 106105050601160 212210101202320