Search a number
-
+
212211444112212 = 223113467273349201
BaseRepresentation
bin110000010000000101010011…
…101111100101101101010100
31000211101012211102002222112010
4300100011103233211231110
5210303333014143042322
62031200331440424220
762461525261534626
oct6020052357455524
91024335742088463
10212211444112212
1161687405951226
121b973bbb318070
1391545b7c1005c
143a5913555cc16
15198018ee9c20c
hexc10153be5b54

212211444112212 has 48 divisors (see below), whose sum is σ = 499552823290752. Its totient is φ = 70109634201600.

The previous prime is 212211444112211. The next prime is 212211444112231.

212211444112212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212211444112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211444112211) 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, 61687212 + ... + 65036412.

It is an arithmetic number, because the mean of its divisors is an integer number (10407350485224).

Almost surely, 2212211444112212 is an apocalyptic number.

It is an amenable number.

212211444112212 is an abundant number, since it is smaller than the sum of its proper divisors (287341379178540).

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

212211444112212 is a wasteful number, since it uses less digits than its factorization.

212211444112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396048 (or 3396046 counting only the distinct ones).

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

The spelling of 212211444112212 in words is "two hundred twelve trillion, two hundred eleven billion, four hundred forty-four million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 113 226 339 452 678 1356 46727 93454 140181 186908 280362 560724 3349201 5280151 6698402 10047603 10560302 13396804 15840453 20095206 21120604 31680906 40190412 63361812 378459713 756919426 1135379139 1513838852 2270758278 4541516556 156498115127 312996230254 469494345381 625992460508 938988690762 1877977381524 17684287009351 35368574018702 53052861028053 70737148037404 106105722056106 212211444112212