Search a number
-
+
21033021000 = 2335317414027
BaseRepresentation
bin10011100101101010…
…100110111001001000
32000021211100011122210
4103211222212321020
5321033423133000
613355030345120
71343134504635
oct234552467110
960254304583
1021033021000
118a13656a92
1240ababb1a0
131ca2706b74
14103758b18c
158317c1350
hex4e5aa6e48

21033021000 has 128 divisors (see below), whose sum is σ = 65677023360. Its totient is φ = 5604192000.

The previous prime is 21033020963. The next prime is 21033021011. The reversal of 21033021000 is 12033012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 5220987 + ... + 5225013.

It is an arithmetic number, because the mean of its divisors is an integer number (513101745).

Almost surely, 221033021000 is an apocalyptic number.

21033021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21033021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32838511680).

21033021000 is an abundant number, since it is smaller than the sum of its proper divisors (44644002360).

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

21033021000 is a wasteful number, since it uses less digits than its factorization.

21033021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21033021000 its reverse (12033012), we get a palindrome (21045054012).

The spelling of 21033021000 in words is "twenty-one billion, thirty-three million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1741 3000 3482 4027 5223 6964 8054 8705 10446 12081 13928 16108 17410 20135 20892 24162 26115 32216 34820 40270 41784 43525 48324 52230 60405 69640 80540 87050 96648 100675 104460 120810 130575 161080 174100 201350 208920 217625 241620 261150 302025 348200 402700 435250 483240 503375 522300 604050 652875 805400 870500 1006750 1044600 1208100 1305750 1510125 1741000 2013500 2416200 2611500 3020250 4027000 5223000 6040500 7011007 12081000 14022014 21033021 28044028 35055035 42066042 56088056 70110070 84132084 105165105 140220140 168264168 175275175 210330210 280440280 350550350 420660420 525825525 701100700 841320840 876375875 1051651050 1402201400 1752751750 2103302100 2629127625 3505503500 4206604200 5258255250 7011007000 10516510500 21033021000