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210223343322012 = 2233710133114162783
BaseRepresentation
bin101111110011001001101111…
…101100111100001110011100
31000120100011012020201121202010
4233303021233230330032130
5210023244401342301022
62023035134245031220
762165064264620406
oct5763115754741634
91016304166647663
10210223343322012
1160a90245880929
121b6b28383b5510
13903bc8c981137
1439cac15171b76
1519485d198150c
hexbf326fb3c39c

210223343322012 has 96 divisors (see below), whose sum is σ = 510303462488064. Its totient is φ = 67301540064000.

The previous prime is 210223343321993. The next prime is 210223343322043.

210223343322012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7761973 + ... + 21924755.

It is an arithmetic number, because the mean of its divisors is an integer number (5315661067584).

Almost surely, 2210223343322012 is an apocalyptic number.

It is an amenable number.

210223343322012 is an abundant number, since it is smaller than the sum of its proper divisors (300080119166052).

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

210223343322012 is a wasteful number, since it uses less digits than its factorization.

210223343322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163259 (or 14163257 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 210223343322012 in words is "two hundred ten trillion, two hundred twenty-three billion, three hundred forty-three million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 101 111 148 202 222 303 331 404 444 606 662 993 1212 1324 1986 3737 3972 7474 11211 12247 14948 22422 24494 33431 36741 44844 48988 66862 73482 100293 133724 146964 200586 401172 1236947 2473894 3710841 4947788 7421682 14162783 14843364 28325566 42488349 56651132 84976698 169953396 524022971 1048045942 1430441083 1572068913 2096091884 2860882166 3144137826 4291323249 4687881173 5721764332 6288275652 8582646498 9375762346 14063643519 17165292996 18751524692 28127287038 52926320071 56254574076 105852640142 158778960213 173451603401 211705280284 317557920426 346903206802 473475998473 520354810203 635115840852 693806413604 946951996946 1040709620406 1420427995419 1893903993892 2081419240812 2840855990838 5681711981676 17518611943501 35037223887002 52555835830503 70074447774004 105111671661006 210223343322012