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212000010093 = 321731223200437
BaseRepresentation
bin1100010101110000101…
…1110110111101101101
3202021012122102100200200
43011130023312331231
511433134000310333
6241220315544113
721213362232114
oct3053413667555
9667178370620
10212000010093
11819aa52a413
123510645b039
1316cb7488471
14a391b02c7b
1557abbe7c13
hex315c2f6f6d

212000010093 has 48 divisors (see below), whose sum is σ = 336197062656. Its totient is φ = 128150760960.

The previous prime is 212000010083. The next prime is 212000010113. The reversal of 212000010093 is 390010000212.

It is a happy number.

It is not a de Polignac number, because 212000010093 - 26 = 212000010029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000010083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957471 + ... + 1157907.

It is an arithmetic number, because the mean of its divisors is an integer number (7004105472).

Almost surely, 2212000010093 is an apocalyptic number.

It is an amenable number.

212000010093 is a deficient number, since it is larger than the sum of its proper divisors (124197052563).

212000010093 is a wasteful number, since it uses less digits than its factorization.

212000010093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200714 (or 200711 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 212000010093 in words is "two hundred twelve billion, ten thousand, ninety-three".

Divisors: 1 3 9 17 31 51 93 153 223 279 527 669 1581 2007 3791 4743 6913 11373 20739 34119 62217 117521 200437 352563 601311 1057689 1803933 3407429 6213547 10222287 18640641 30666861 44697451 55921923 105630299 134092353 316890897 402277059 759856667 950672691 1385620981 2279570001 4156862943 6838710003 12470588829 23555556677 70666670031 212000010093