Search a number
-
+
21221354344600 = 23522336712570403
BaseRepresentation
bin1001101001100111110110…
…10010011001000010011000
32210010202000200010201102001
410310303323102121002120
510240142313203011400
6113044542224250344
74320122641453234
oct464637322310230
983122020121361
1021221354344600
116841a20319303
122468a107709b4
13bac21ba2b0b7
145351948975c4
1526c039664a6a
hex134cfb499098

21221354344600 has 96 divisors (see below), whose sum is σ = 51625140779520. Its totient is φ = 8097350152320.

The previous prime is 21221354344591. The next prime is 21221354344609. The reversal of 21221354344600 is 644345312212.

It is an interprime number because it is at equal distance from previous prime (21221354344591) and next prime (21221354344609).

It is a self number, because there is not a number n which added to its sum of digits gives 21221354344600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221354344609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4597002 + ... + 7973401.

It is an arithmetic number, because the mean of its divisors is an integer number (537761883120).

Almost surely, 221221354344600 is an apocalyptic number.

21221354344600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221354344600 is an abundant number, since it is smaller than the sum of its proper divisors (30403786434920).

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

21221354344600 is a wasteful number, since it uses less digits than its factorization.

21221354344600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12570809 (or 12570800 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 21221354344600 its reverse (644345312212), we get a palindrome (21865699656812).

The spelling of 21221354344600 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred fifty-four million, three hundred forty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 367 460 575 734 920 1150 1468 1835 2300 2936 3670 4600 7340 8441 9175 14680 16882 18350 33764 36700 42205 67528 73400 84410 168820 211025 337640 422050 844100 1688200 12570403 25140806 50281612 62852015 100563224 125704030 251408060 289119269 314260075 502816120 578238538 628520150 1156477076 1257040300 1445596345 2312954152 2514080600 2891192690 4613337901 5782385380 7227981725 9226675802 11564770760 14455963450 18453351604 23066689505 28911926900 36906703208 46133379010 57823853800 92266758020 106106771723 115333447525 184533516040 212213543446 230666895050 424427086892 461333790100 530533858615 848854173784 922667580200 1061067717230 2122135434460 2652669293075 4244270868920 5305338586150 10610677172300 21221354344600