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212200999985 = 51310929950741
BaseRepresentation
bin1100010110100000101…
…0100100110000110001
3202021201122121200222202
43011220022210300301
511434041423444420
6241252255512545
721221352511352
oct3055012446061
9667648550882
10212200999985
1181aa2a29067
1235161828755
1317019ccb1b0
14a3b06a1d29
1557be69a575
hex31682a4c31

212200999985 has 16 divisors (see below), whose sum is σ = 276744856080. Its totient is φ = 155264636160.

The previous prime is 212200999931. The next prime is 212201000017. The reversal of 212200999985 is 589999002212.

It can be written as a sum of positive squares in 8 ways, for example, as 29332727824 + 182868272161 = 171268^2 + 427631^2 .

It is not a de Polignac number, because 212200999985 - 212 = 212200995889 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 212200999985.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14968286 + ... + 14982455.

It is an arithmetic number, because the mean of its divisors is an integer number (17296553505).

Almost surely, 2212200999985 is an apocalyptic number.

It is an amenable number.

212200999985 is a deficient number, since it is larger than the sum of its proper divisors (64543856095).

212200999985 is a wasteful number, since it uses less digits than its factorization.

212200999985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29950868.

The product of its (nonzero) digits is 2099520, while the sum is 56.

The spelling of 212200999985 in words is "two hundred twelve billion, two hundred million, nine hundred ninety-nine thousand, nine hundred eighty-five".

Divisors: 1 5 13 65 109 545 1417 7085 29950741 149753705 389359633 1946798165 3264630769 16323153845 42440199997 212200999985