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212404040404212 = 223233557172163461
BaseRepresentation
bin110000010010111000101011…
…011000001000110011110100
31000212001121221210000022222010
4300102320223120020303310
5210320011433320413322
62031425022531404220
762511454062155256
oct6022705330106364
91025047853008863
10212404040404212
116175105849aa88
121b9a53ab453670
1391697cc3b7007
143a645a6235cd6
1519851b346020c
hexc12e2b608cf4

212404040404212 has 48 divisors (see below), whose sum is σ = 517159356481152. Its totient is φ = 67722805687680.

The previous prime is 212404040404211. The next prime is 212404040404217.

212404040404212 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 212404040404212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212404040404211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97096162 + ... + 99259622.

It is an arithmetic number, because the mean of its divisors is an integer number (10774153260024).

Almost surely, 2212404040404212 is an apocalyptic number.

It is an amenable number.

212404040404212 is an abundant number, since it is smaller than the sum of its proper divisors (304755316076940).

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

212404040404212 is a wasteful number, since it uses less digits than its factorization.

212404040404212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519208 (or 2519206 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 212404040404212 in words is "two hundred twelve trillion, four hundred four billion, forty million, four hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 355717 711434 1067151 1422868 2134302 2163461 4268604 4326922 6490383 8181491 8653844 12980766 16362982 24544473 25961532 32725964 49088946 49759603 98177892 99519206 149278809 199038412 298557618 597115236 769579856537 1539159713074 2308739569611 3078319426148 4617479139222 9234958278444 17700336700351 35400673400702 53101010101053 70801346801404 106202020202106 212404040404212