Search a number
-
+
212122221000 = 23353371911011
BaseRepresentation
bin1100010110001101111…
…0000011100111001000
3202021112011101022112120
43011203132003213020
511433411242033000
6241240403211240
721216405062124
oct3054336034710
9667464338476
10212122221000
1181a62511268
123513b376b20
13170068a7801
14a3a4036584
1557b77d86a0
hex31637839c8

212122221000 has 128 divisors (see below), whose sum is σ = 679708748160. Its totient is φ = 55037088000.

The previous prime is 212122220969. The next prime is 212122221007. The reversal of 212122221000 is 122221212.

It is a super-4 number, since 4×2121222210004 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (212122221007) 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, 844506 + ... + 1066505.

It is an arithmetic number, because the mean of its divisors is an integer number (5310224595).

Almost surely, 2212122221000 is an apocalyptic number.

212122221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122221000 is an abundant number, since it is smaller than the sum of its proper divisors (467586527160).

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

212122221000 is a wasteful number, since it uses less digits than its factorization.

212122221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911072 (or 1911058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212122221000 its reverse (122221212), we get a palindrome (212244442212).

The spelling of 212122221000 in words is "two hundred twelve billion, one hundred twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 1911011 3822022 5733033 7644044 9555055 11466066 15288088 19110110 22932132 28665165 38220220 45864264 47775275 57330330 70707407 76440440 95550550 114660660 141414814 143325825 191101100 212122221 229321320 238876375 282829628 286651650 353537035 382202200 424244442 477752750 565659256 573303300 707074070 716629125 848488884 955505500 1060611105 1146606600 1414148140 1433258250 1696977768 1767685175 1911011000 2121222210 2828296280 2866516500 3535370350 4242444420 5303055525 5733033000 7070740700 8484888840 8838425875 10606111050 14141481400 17676851750 21212222100 26515277625 35353703500 42424444200 53030555250 70707407000 106061110500 212122221000