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212212200102020 = 225234716937579533
BaseRepresentation
bin110000010000000110000000…
…110011011101100010000100
31000211101021210002122020120122
4300100012000303131202010
5210303341041211231040
62031200534444121112
762461553101411556
oct6020060063354204
91024337702566518
10212212200102020
1161687763662598
121b974190536198
1391546a8723cc1
143a591a7b0d4d6
1519801d652e1b5
hexc10180cdd884

212212200102020 has 96 divisors (see below), whose sum is σ = 474944451222528. Its totient is φ = 79461867195392.

The previous prime is 212212200101971. The next prime is 212212200102037. The reversal of 212212200102020 is 20201002212212.

It is a happy number.

It is a super-3 number, since 3×2122122001020203 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212212200102020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365888174 + ... + 366467706.

It is an arithmetic number, because the mean of its divisors is an integer number (4947338033568).

Almost surely, 2212212200102020 is an apocalyptic number.

212212200102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212200102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237472225611264).

212212200102020 is an abundant number, since it is smaller than the sum of its proper divisors (262732251120508).

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

212212200102020 is a wasteful number, since it uses less digits than its factorization.

212212200102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596549 (or 596547 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212212200102020 its reverse (20201002212212), we get a palindrome (232413202314232).

The spelling of 212212200102020 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 4324 5405 10810 16937 21620 33874 67748 84685 169370 338740 389551 579533 779102 796039 1159066 1558204 1592078 1947755 2318132 2897665 3184156 3895510 3980195 5795330 7791020 7960390 11590660 13329259 15920780 18308897 26658518 27238051 36617794 53317036 54476102 66646295 73235588 91544485 108952204 133292590 136190255 183088970 266585180 272380510 366177940 544761020 626475173 1252950346 2505900692 3132375865 6264751730 9815550421 12529503460 19631100842 39262201684 49077752105 98155504210 196311008420 225757659683 451515319366 461330869787 903030638732 922661739574 1128788298415 1845323479148 2257576596830 2306654348935 4515153193660 4613308697870 9226617395740 10610610005101 21221220010202 42442440020404 53053050025505 106106100051010 212212200102020