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212010022202020 = 22572625734575157
BaseRepresentation
bin110000001101001001101110…
…000011111110101010100100
31000210122221220222020202221021
4300031021232003332222210
5210242033011140431040
62030524020514100524
762441134663542100
oct6015115603765244
91023587828222837
10212010022202020
1161609a44496939
121b940b6757a744
13913b5c8140703
143a4d4a86a4900
151979d01ca624a
hexc0d26e0feaa4

212010022202020 has 72 divisors (see below), whose sum is σ = 517992985001016. Its totient is φ = 72677531114496.

The previous prime is 212010022202009. The next prime is 212010022202039. The reversal of 212010022202020 is 20202220010212.

It can be written as a sum of positive squares in 4 ways, for example, as 106789571881216 + 105220450320804 = 10333904^2 + 10257702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212010022201985 and 212010022202003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11155719 + ... + 23419438.

It is an arithmetic number, because the mean of its divisors is an integer number (7194347013903).

Almost surely, 2212010022202020 is an apocalyptic number.

212010022202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010022202020 is an abundant number, since it is smaller than the sum of its proper divisors (305982962798996).

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

212010022202020 is a wasteful number, since it uses less digits than its factorization.

212010022202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34581437 (or 34581428 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212010022202020 its reverse (20202220010212), we get a palindrome (232212242212232).

The spelling of 212010022202020 in words is "two hundred twelve trillion, ten billion, twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 6257 12514 25028 31285 43799 62570 87598 125140 175196 218995 306593 437990 613186 875980 1226372 1532965 3065930 6131860 34575157 69150314 138300628 172875785 242026099 345751570 484052198 691503140 968104396 1210130495 1694182693 2420260990 3388365386 4840521980 6776730772 8470913465 16941826930 33883653860 216336757349 432673514698 865347029396 1081683786745 1514357301443 2163367573490 3028714602886 4326735146980 6057429205772 7571786507215 10600501110101 15143573014430 21201002220202 30287146028860 42402004440404 53002505550505 106005011101010 212010022202020