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21212003011311 = 327315434453271
BaseRepresentation
bin1001101001010110011011…
…11001111000101011101111
32210002211212221221202201200
410310223031321320223233
510240014140232330221
6113040354252540543
74316342131443000
oct464531571705357
983084787852650
1021212003011311
116838a61782192
122467040a81753
13bab38b548aa8
145349489491a7
1526bb8d6d9426
hex134acde78aef

21212003011311 has 48 divisors (see below), whose sum is σ = 35754430233600. Its totient is φ = 12113286287760.

The previous prime is 21212003011307. The next prime is 21212003011321. The reversal of 21212003011311 is 11311030021212.

21212003011311 is a `hidden beast` number, since 2 + 121 + 200 + 30 + 1 + 1 + 311 = 666.

It is not a de Polignac number, because 21212003011311 - 22 = 21212003011307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212003011321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2536606 + ... + 6989876.

It is an arithmetic number, because the mean of its divisors is an integer number (744883963200).

Almost surely, 221212003011311 is an apocalyptic number.

21212003011311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21212003011311 is a deficient number, since it is larger than the sum of its proper divisors (14542427222289).

21212003011311 is a wasteful number, since it uses less digits than its factorization.

21212003011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454841 (or 4454824 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21212003011311 its reverse (11311030021212), we get a palindrome (32523033032523).

The spelling of 21212003011311 in words is "twenty-one trillion, two hundred twelve billion, three million, eleven thousand, three hundred eleven".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 1543 3087 4629 10801 13887 32403 75607 97209 226821 529249 680463 1587747 4453271 4763241 13359813 31172897 40079439 93518691 218210279 280556073 654630837 1527471953 1963892511 4582415859 6871397153 13747247577 20614191459 48099780071 61842574377 144299340213 336698460497 432898020639 1010095381491 2356889223479 3030286144473 7070667670437 21212003011311