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212441101144212 = 223374311127231361
BaseRepresentation
bin110000010011011011001100…
…010111101001000010010100
31000212012011121121022222202010
4300103123030113221002110
5210321113333343103322
62031454032231544220
762514235346232033
oct6023331427510224
91025164547288663
10212441101144212
11617658462a4526
121b9b0612b2b070
139170157530a75
143a662c02cc71a
151986131da020c
hexc136cc5e9094

212441101144212 has 48 divisors (see below), whose sum is σ = 520932463443392. Its totient is φ = 67297495265280.

The previous prime is 212441101144177. The next prime is 212441101144297.

It is a happy number.

212441101144212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2124411011442122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212441101144212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5563596589 + ... + 5563634772.

Almost surely, 2212441101144212 is an apocalyptic number.

It is an amenable number.

212441101144212 is an abundant number, since it is smaller than the sum of its proper divisors (308491362299180).

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

212441101144212 is a wasteful number, since it uses less digits than its factorization.

212441101144212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127231448 (or 11127231446 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

It can be divided in two parts, 21244110 and 1144212, that added together give a palindrome (22388322).

The spelling of 212441101144212 in words is "two hundred twelve trillion, four hundred forty-one billion, one hundred one million, one hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 43 74 86 111 129 148 172 222 258 444 516 1591 3182 4773 6364 9546 19092 11127231361 22254462722 33381694083 44508925444 66763388166 133526776332 411707560357 478470948523 823415120714 956941897046 1235122681071 1435412845569 1646830241428 1913883794092 2470245362142 2870825691138 4940490724284 5741651382276 17703425095351 35406850190702 53110275286053 70813700381404 106220550572106 212441101144212