Search a number
-
+
212210001122020 = 2251173101130827467
BaseRepresentation
bin110000010000000011111101…
…101111000001001011100100
31000211101002002211212111002221
4300100003331233001023210
5210303322040241401040
62031155532332242124
762461444440401266
oct6020037557011344
91024332084774087
10212210001122020
116168683536a350
121b973878010344
139154417c8b9c5
143a59039a59b36
15198010846474a
hexc100fdbc12e4

212210001122020 has 96 divisors (see below), whose sum is σ = 497692807145856. Its totient is φ = 75356620416000.

The previous prime is 212210001121981. The next prime is 212210001122027. The reversal of 212210001122020 is 20221100012212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212210001121985 and 212210001122003.

It is not an unprimeable number, because it can be changed into a prime (212210001122027) 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, 63791674 + ... + 67035793.

It is an arithmetic number, because the mean of its divisors is an integer number (5184300074436).

Almost surely, 2212210001122020 is an apocalyptic number.

212210001122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210001122020 is an abundant number, since it is smaller than the sum of its proper divisors (285482806023836).

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

212210001122020 is a wasteful number, since it uses less digits than its factorization.

212210001122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130827661 (or 130827659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212210001122020 its reverse (20221100012212), we get a palindrome (232431101134232).

The spelling of 212210001122020 in words is "two hundred twelve trillion, two hundred ten billion, one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 101 110 146 202 220 292 365 404 505 730 803 1010 1111 1460 1606 2020 2222 3212 4015 4444 5555 7373 8030 11110 14746 16060 22220 29492 36865 73730 81103 147460 162206 324412 405515 811030 1622060 130827467 261654934 523309868 654137335 1308274670 1439102137 2616549340 2878204274 5756408548 7195510685 9550405091 13213574167 14391021370 19100810182 26427148334 28782042740 38201620364 47752025455 52854296668 66067870835 95504050910 105054456001 132135741670 145349315837 191008101820 210108912002 264271483340 290698631674 420217824004 525272280005 581397263348 726746579185 964590914191 1050544560010 1453493158370 1929181828382 2101089120020 2906986316740 3858363656764 4822954570955 9645909141910 10610500056101 19291818283820 21221000112202 42442000224404 53052500280505 106105000561010 212210001122020