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211332213213 = 31129220827809
BaseRepresentation
bin1100010011010001100…
…0011010100111011101
3202012111002211202120220
43010310120122213131
511430302021310323
6241030142431553
721161003113332
oct3046430324735
9665432752526
10211332213213
1181697585770
1234b5a8925b9
1316c0c012a94
14a32b14c989
15576d2870e3
hex313461a9dd

211332213213 has 16 divisors (see below), whose sum is σ = 317992046400. Its totient is φ = 123663572480.

The previous prime is 211332213199. The next prime is 211332213217. The reversal of 211332213213 is 312312233112.

211332213213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211332213213 - 25 = 211332213181 is a prime.

It is a super-2 number, since 2×2113322132132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211332213217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110412948 + ... + 110414861.

It is an arithmetic number, because the mean of its divisors is an integer number (19874502900).

Almost surely, 2211332213213 is an apocalyptic number.

It is an amenable number.

211332213213 is a deficient number, since it is larger than the sum of its proper divisors (106659833187).

211332213213 is a wasteful number, since it uses less digits than its factorization.

211332213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220827852.

The product of its digits is 1296, while the sum is 24.

Adding to 211332213213 its reverse (312312233112), we get a palindrome (523644446325).

The spelling of 211332213213 in words is "two hundred eleven billion, three hundred thirty-two million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 11 29 33 87 319 957 220827809 662483427 2429105899 6404006461 7287317697 19212019383 70444071071 211332213213