Search a number
-
+
21213420422320 = 2457223169870439
BaseRepresentation
bin1001101001011001000100…
…11000111000010010110000
32210002222112202001201002201
410310230202120320102300
510240030041112003240
6113041151044552544
74316422222312420
oct464544230702260
983088482051081
1021213420422320
116839619883045
1224673776b2754
13bab5560b2429
14534a40cb0480
1526bc22d6cd9a
hex134b226384b0

21213420422320 has 80 divisors (see below), whose sum is σ = 56619856097280. Its totient is φ = 7240557549312.

The previous prime is 21213420422287. The next prime is 21213420422323. The reversal of 21213420422320 is 2322402431212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21213420422323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84810340 + ... + 85060099.

It is an arithmetic number, because the mean of its divisors is an integer number (707748201216).

Almost surely, 221213420422320 is an apocalyptic number.

21213420422320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21213420422320 is an abundant number, since it is smaller than the sum of its proper divisors (35406435674960).

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

21213420422320 is a wasteful number, since it uses less digits than its factorization.

21213420422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169870682 (or 169870676 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 21213420422320 its reverse (2322402431212), we get a palindrome (23535822853532).

The spelling of 21213420422320 in words is "twenty-one trillion, two hundred thirteen billion, four hundred twenty million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 223 280 446 560 892 1115 1561 1784 2230 3122 3568 4460 6244 7805 8920 12488 15610 17840 24976 31220 62440 124880 169870439 339740878 679481756 849352195 1189093073 1358963512 1698704390 2378186146 2717927024 3397408780 4756372292 5945465365 6794817560 9512744584 11890930730 13589635120 19025489168 23781861460 37881107897 47563722920 75762215794 95127445840 151524431588 189405539485 265167755279 303048863176 378811078970 530335510558 606097726352 757622157940 1060671021116 1325838776395 1515244315880 2121342042232 2651677552790 3030488631760 4242684084464 5303355105580 10606710211160 21213420422320