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212001022020 = 2235231011521029
BaseRepresentation
bin1100010101110000111…
…1101110000001000100
3202021012201022202210110
43011130033232001010
511433134230201040
6241220353353020
721213403645254
oct3053417560104
9667181282713
10212001022020
1181a00060717
1235106868770
1316cb7750c38
14a391cc7964
1557abd47980
hex315c3ee044

212001022020 has 96 divisors (see below), whose sum is σ = 625544881920. Its totient is φ = 53540185600.

The previous prime is 212001022019. The next prime is 212001022087. The reversal of 212001022020 is 20220100212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212001021987 and 212001022005.

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, 621135 + ... + 899894.

It is an arithmetic number, because the mean of its divisors is an integer number (6516092520).

Almost surely, 2212001022020 is an apocalyptic number.

212001022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001022020 is an abundant number, since it is smaller than the sum of its proper divisors (413543859900).

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

212001022020 is a wasteful number, since it uses less digits than its factorization.

212001022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521165 (or 1521163 counting only the distinct ones).

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

Adding to 212001022020 its reverse (20220100212), we get a palindrome (232221122232).

The spelling of 212001022020 in words is "two hundred twelve billion, one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 101 115 138 202 230 276 303 345 404 460 505 606 690 1010 1212 1380 1515 2020 2323 3030 4646 6060 6969 9292 11615 13938 23230 27876 34845 46460 69690 139380 1521029 3042058 4563087 6084116 7605145 9126174 15210290 18252348 22815435 30420580 34983667 45630870 69967334 91261740 104951001 139934668 153623929 174918335 209902002 307247858 349836670 419804004 460871787 524755005 614495716 699673340 768119645 921743574 1049510010 1536239290 1843487148 2099020020 2304358935 3072478580 3533350367 4608717870 7066700734 9217435740 10600051101 14133401468 17666751835 21200102202 35333503670 42400204404 53000255505 70667007340 106000511010 212001022020