Search a number
-
+
21324114212000 = 255331171968663
BaseRepresentation
bin1001101100100111010000…
…10000001011010010100000
32210111120021011221211222212
410312103220100023102200
510243333241214241000
6113204055101021252
74330421300100335
oct466235020132240
983446234854885
1021324114212000
116881562610656
12248490a854828
13bb8b17255a72
1453a14229298c
1526ea50d0cc35
hex1364e840b4a0

21324114212000 has 96 divisors (see below), whose sum is σ = 54083456953344. Its totient is φ = 8254495776000.

The previous prime is 21324114211999. The next prime is 21324114212039. The reversal of 21324114212000 is 21241142312.

21324114212000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85860332 + ... + 86108331.

It is an arithmetic number, because the mean of its divisors is an integer number (563369343264).

Almost surely, 221324114212000 is an apocalyptic number.

21324114212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21324114212000 is an abundant number, since it is smaller than the sum of its proper divisors (32759342741344).

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

21324114212000 is a wasteful number, since it uses less digits than its factorization.

21324114212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171968719 (or 171968701 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 21324114212000 its reverse (21241142312), we get a palindrome (21345355354312).

The spelling of 21324114212000 in words is "twenty-one trillion, three hundred twenty-four billion, one hundred fourteen million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 24800 31000 62000 124000 171968663 343937326 687874652 859843315 1375749304 1719686630 2751498608 3439373260 4299216575 5331028553 5502997216 6878746520 8598433150 10662057106 13757493040 17196866300 21324114212 21496082875 26655142765 27514986080 34393732600 42648228424 42992165750 53310285530 68787465200 85296456848 85984331500 106620571060 133275713825 137574930400 170592913696 171968663000 213241142120 266551427650 343937326000 426482284240 533102855300 666378569125 687874652000 852964568480 1066205710600 1332757138250 2132411421200 2665514276500 4264822842400 5331028553000 10662057106000 21324114212000