Search a number
-
+
212202021000 = 2335373968959
BaseRepresentation
bin1100010110100000111…
…0011110000010001000
3202021201201112120120010
43011220032132002020
511434042204133000
6241252333431520
721221364263154
oct3055016360210
9667651476503
10212202021000
1181aa3566182
123516203b5a0
131701a297b48
14a3b088a064
1557be7ecd50
hex316839e088

212202021000 has 128 divisors (see below), whose sum is σ = 671140454400. Its totient is φ = 55811980800.

The previous prime is 212202020977. The next prime is 212202021007. The reversal of 212202021000 is 120202212.

212202021000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (212202021007) 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, 265480 + ... + 703479.

It is an arithmetic number, because the mean of its divisors is an integer number (5243284800).

Almost surely, 2212202021000 is an apocalyptic number.

212202021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202021000 is an abundant number, since it is smaller than the sum of its proper divisors (458938433400).

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

212202021000 is a wasteful number, since it uses less digits than its factorization.

212202021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969056 (or 969042 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212202021000 its reverse (120202212), we get a palindrome (212322223212).

The spelling of 212202021000 in words is "two hundred twelve billion, two hundred two million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 125 146 150 200 219 250 292 300 365 375 438 500 584 600 730 750 876 1000 1095 1460 1500 1752 1825 2190 2920 3000 3650 4380 5475 7300 8760 9125 10950 14600 18250 21900 27375 36500 43800 54750 73000 109500 219000 968959 1937918 2906877 3875836 4844795 5813754 7751672 9689590 11627508 14534385 19379180 23255016 24223975 29068770 38758360 48447950 58137540 70734007 72671925 96895900 116275080 121119875 141468014 145343850 193791800 212202021 242239750 282936028 290687700 353670035 363359625 424404042 484479500 565872056 581375400 707340070 726719250 848808084 968959000 1061010105 1414680140 1453438500 1697616168 1768350175 2122020210 2829360280 2906877000 3536700350 4244040420 5305050525 7073400700 8488080840 8841750875 10610101050 14146801400 17683501750 21220202100 26525252625 35367003500 42440404200 53050505250 70734007000 106101010500 212202021000