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21231213212 = 22112713171949
BaseRepresentation
bin10011110001011110…
…101001101010011100
32000210122021101021002
4103301132221222130
5321440142310322
613430430325432
71351062222536
oct236136515234
960718241232
1021231213212
119005514800
124146359878
1320047aa371
141055a1c856
15843dbec92
hex4f17a9a9c

21231213212 has 72 divisors (see below), whose sum is σ = 41566543200. Its totient is φ = 9479747200.

The previous prime is 21231213203. The next prime is 21231213217.

21231213212 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×212312132123 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21231213217) 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 23 ways as a sum of consecutive naturals, for example, 10892414 + ... + 10894362.

It is an arithmetic number, because the mean of its divisors is an integer number (577313100).

Almost surely, 221231213212 is an apocalyptic number.

21231213212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21231213212 is a deficient number, since it is larger than the sum of its proper divisors (20335329988).

21231213212 is a wasteful number, since it uses less digits than its factorization.

21231213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2350 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The spelling of 21231213212 in words is "twenty-one billion, two hundred thirty-one million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 71 121 142 242 284 317 484 634 781 1268 1562 1949 3124 3487 3898 6974 7796 8591 13948 17182 21439 22507 34364 38357 42878 45014 76714 85756 90028 138379 153428 235829 247577 276758 471658 495154 553516 617833 943316 990308 1235666 1522169 2471332 2723347 3044338 5446694 6088676 6796163 10893388 13592326 16743859 27184652 33487718 43866143 66975436 74757793 87732286 149515586 175464572 299031172 482527573 965055146 1930110292 5307803303 10615606606 21231213212