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213422101224312 = 23341271800340883
BaseRepresentation
bin110000100001101100110100…
…100001111101101101111000
31000222122221202012001110222010
4300201230310201331231320
5210433201430403134222
62033524432040125520
762645144424310431
oct6041546441755570
91028587665043863
10213422101224312
1162003894269382
121bb2a771a668a0
139211805389446
143a9b9831bc488
1519a18ea59580c
hexc21b3487db78

213422101224312 has 64 divisors (see below), whose sum is σ = 548585655528960. Its totient is φ = 69149452204800.

The previous prime is 213422101224307. The next prime is 213422101224329.

213422101224312 is nontrivially palindromic in base 10.

213422101224312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213422101224312.

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, 399903778 + ... + 400437105.

It is an arithmetic number, because the mean of its divisors is an integer number (8571650867640).

Almost surely, 2213422101224312 is an apocalyptic number.

It is an amenable number.

213422101224312 is an abundant number, since it is smaller than the sum of its proper divisors (335163554304648).

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

213422101224312 is a wasteful number, since it uses less digits than its factorization.

213422101224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800341204 (or 800341200 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 21342210 and 1224312, that added together give a palindrome (22566522).

The spelling of 213422101224312 in words is "two hundred thirteen trillion, four hundred twenty-two billion, one hundred one million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 271 328 492 542 813 984 1084 1626 2168 3252 6504 11111 22222 33333 44444 66666 88888 133332 266664 800340883 1600681766 2401022649 3201363532 4802045298 6402727064 9604090596 19208181192 32813976203 65627952406 98441928609 131255904812 196883857218 216892379293 262511809624 393767714436 433784758586 650677137879 787535428872 867569517172 1301354275758 1735139034344 2602708551516 5205417103032 8892587551013 17785175102026 26677762653039 35570350204052 53355525306078 71140700408104 106711050612156 213422101224312