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212011013220 = 223519238085851
BaseRepresentation
bin1100010101110011010…
…1110101010001100100
3202021020102010101010220
43011130311311101210
511433144304410340
6241221351444340
721213554610156
oct3053465652144
9667212111126
10212011013220
1181a05765206
123510a0866b0
1316cb983b7a6
14a393368ad6
1557acb6ced0
hex315cd75464

212011013220 has 96 divisors (see below), whose sum is σ = 652043105280. Its totient is φ = 51231945600.

The previous prime is 212011013219. The next prime is 212011013257. The reversal of 212011013220 is 22310110212.

212011013220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212011013220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4016706 + ... + 4069145.

It is an arithmetic number, because the mean of its divisors is an integer number (6792115680).

Almost surely, 2212011013220 is an apocalyptic number.

212011013220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011013220 is an abundant number, since it is smaller than the sum of its proper divisors (440032092060).

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

212011013220 is a wasteful number, since it uses less digits than its factorization.

212011013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085905 (or 8085903 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212011013220 its reverse (22310110212), we get a palindrome (234321123432).

The spelling of 212011013220 in words is "two hundred twelve billion, eleven million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 6555 8740 13110 26220 8085851 16171702 24257553 32343404 40429255 48515106 80858510 97030212 121287765 153631169 161717020 185974573 242575530 307262338 371949146 460893507 485151060 557923719 614524676 743898292 768155845 921787014 929872865 1115847438 1536311690 1843574028 1859745730 2231694876 2304467535 2789618595 3072623380 3533516887 3719491460 4608935070 5579237190 7067033774 9217870140 10600550661 11158474380 14134067548 17667584435 21201101322 35335168870 42402202644 53002753305 70670337740 106005506610 212011013220