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21211022316 = 223112234671543
BaseRepresentation
bin10011110000010001…
…101000001111101100
32000202020021120120010
4103300101220033230
5321420010203231
613424425453220
71350425500131
oct236021501754
960666246503
1021211022316
118aa5084010
12413b641210
13200055b0a3
141053084588
15842232546
hex4f04683ec

21211022316 has 96 divisors (see below), whose sum is σ = 54385164288. Its totient is φ = 6380919360.

The previous prime is 21211022311. The next prime is 21211022317. The reversal of 21211022316 is 61322011212.

It is a junction number, because it is equal to n+sod(n) for n = 21211022292 and 21211022301.

It is not an unprimeable number, because it can be changed into a prime (21211022311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13745841 + ... + 13747383.

It is an arithmetic number, because the mean of its divisors is an integer number (566512128).

Almost surely, 221211022316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211022316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27192582144).

21211022316 is an abundant number, since it is smaller than the sum of its proper divisors (33174141972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21211022316 is a wasteful number, since it uses less digits than its factorization.

21211022316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21211022316 its reverse (61322011212), we get a palindrome (82533033528).

The spelling of 21211022316 in words is "twenty-one billion, two hundred eleven million, twenty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 467 669 892 934 1338 1401 1543 1868 2453 2676 2802 3086 4629 4906 5137 5604 6172 7359 9258 9812 10274 14718 15411 16973 18516 20548 29436 30822 33946 50919 61644 67892 101838 104141 203676 208282 312423 344089 416564 624846 688178 720581 1032267 1145551 1249692 1376356 1441162 2064534 2161743 2291102 2882324 3436653 3784979 4129068 4323486 4582204 6873306 7569958 7926391 8646972 11354937 13746612 15139916 15852782 22709874 23779173 31705564 45419748 47558346 95116692 160689563 321379126 482068689 642758252 964137378 1767585193 1928274756 3535170386 5302755579 7070340772 10605511158 21211022316