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212233882153 = 17313783912973
BaseRepresentation
bin1100010110101000100…
…0000000101000101001
3202021210221111021211211
43011222020000220221
511434123333212103
6241255432353121
721222232142626
oct3055210005051
9667727437754
10212233882153
118200a547a07
12351708457a1
1317023a71cb7
14a3b4bc134d
1557c24e336d
hex316a200a29

212233882153 has 32 divisors (see below), whose sum is σ = 238538926080. Its totient is φ = 187842862080.

The previous prime is 212233882151. The next prime is 212233882177. The reversal of 212233882153 is 351288332212.

It is a cyclic number.

It is not a de Polignac number, because 212233882153 - 21 = 212233882151 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212233882151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16353175 + ... + 16366147.

It is an arithmetic number, because the mean of its divisors is an integer number (7454341440).

Almost surely, 2212233882153 is an apocalyptic number.

It is an amenable number.

212233882153 is a deficient number, since it is larger than the sum of its proper divisors (26305043927).

212233882153 is a wasteful number, since it uses less digits than its factorization.

212233882153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13897.

The product of its digits is 138240, while the sum is 40.

The spelling of 212233882153 in words is "two hundred twelve billion, two hundred thirty-three million, eight hundred eighty-two thousand, one hundred fifty-three".

Divisors: 1 17 31 37 527 629 839 1147 12973 14263 19499 26009 31043 220541 402163 442153 480001 527731 962333 6836771 8160017 10884347 14880031 16359661 185033899 252960527 337414757 402720839 5736050869 6846254263 12484346009 212233882153