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212021223104 = 2623413513077
BaseRepresentation
bin1100010101110101110…
…0110001111011000000
3202021021010100002110202
43011131130301323000
511433204413114404
6241222354344332
721214040442455
oct3053534617300
9667233302422
10212021223104
1181a104a9029
123511158b0a8
1316cbb9a4a42
14a39486582c
1557ad9d821e
hex315d731ec0

212021223104 has 56 divisors (see below), whose sum is σ = 449730193248. Its totient is φ = 98928220160.

The previous prime is 212021223049. The next prime is 212021223107. The reversal of 212021223104 is 401322120212.

212021223104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120212231042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212021223107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1696187 + ... + 1816890.

It is an arithmetic number, because the mean of its divisors is an integer number (8030896308).

Almost surely, 2212021223104 is an apocalyptic number.

It is an amenable number.

212021223104 is an abundant number, since it is smaller than the sum of its proper divisors (237708970144).

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

212021223104 is a wasteful number, since it uses less digits than its factorization.

212021223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513153 (or 3513143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212021223104 its reverse (401322120212), we get a palindrome (613343343316).

The spelling of 212021223104 in words is "two hundred twelve billion, twenty-one million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 164 184 328 368 656 736 943 1312 1472 1886 2624 3772 7544 15088 30176 60352 3513077 7026154 14052308 28104616 56209232 80800771 112418464 144036157 161601542 224836928 288072314 323203084 576144628 646406168 1152289256 1292812336 2304578512 2585624672 3312831611 4609157024 5171249344 6625663222 9218314048 13251326444 26502652888 53005305776 106010611552 212021223104