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212002002012200 = 23527853134981537
BaseRepresentation
bin110000001101000010010000…
…000001011000100000101000
31000210122012020000211220210212
4300031002100001120200220
5210241420100003342300
62030520213013400252
762440432146212351
oct6015022001304050
91023565200756725
10212002002012200
11616065a9289594
121b93b4a9639088
13913a91a67b96a
143a4cd47462d28
1519799d2b1d935
hexc0d090058828

212002002012200 has 48 divisors (see below), whose sum is σ = 492967424745180. Its totient is φ = 84790001653760.

The previous prime is 212002002012161. The next prime is 212002002012319. The reversal of 212002002012200 is 2210200200212.

It can be written as a sum of positive squares in 6 ways, for example, as 27322762585924 + 184679239426276 = 5227118^2 + 13589674^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 65920169 + ... + 69061368.

Almost surely, 2212002002012200 is an apocalyptic number.

212002002012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002002012200 is an abundant number, since it is smaller than the sum of its proper divisors (280965422732980).

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

212002002012200 is a wasteful number, since it uses less digits than its factorization.

212002002012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134989406 (or 134989397 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212002002012200 its reverse (2210200200212), we get a palindrome (214212202212412).

The spelling of 212002002012200 in words is "two hundred twelve trillion, two billion, two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 7853 15706 31412 39265 62824 78530 157060 196325 314120 392650 785300 1570600 134981537 269963074 539926148 674907685 1079852296 1349815370 2699630740 3374538425 5399261480 6749076850 13498153700 26996307400 1060010010061 2120020020122 4240040040244 5300050050305 8480080080488 10600100100610 21200200201220 26500250251525 42400400402440 53000500503050 106001001006100 212002002012200