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212332303144 = 231319421255239
BaseRepresentation
bin1100010110111111111…
…1011101001100101000
3202022001210200121001201
43011233333131030220
511434324032200034
6241313310053544
721224535540403
oct3055777351450
9668053617051
10212332303144
1182060060075
12351997aa2b4
131703b281b80
14a3c3cc0d3a
1557cae85014
hex316ffdd328

212332303144 has 64 divisors (see below), whose sum is σ = 452387376000. Its totient is φ = 92620765440.

The previous prime is 212332303121. The next prime is 212332303171. The reversal of 212332303144 is 441303233212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704277 + ... + 959515.

It is an arithmetic number, because the mean of its divisors is an integer number (7068552750).

Almost surely, 2212332303144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212332303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226193688000).

212332303144 is an abundant number, since it is smaller than the sum of its proper divisors (240055072856).

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

212332303144 is a wasteful number, since it uses less digits than its factorization.

212332303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255698 (or 255694 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 212332303144 its reverse (441303233212), we get a palindrome (653635536356).

The spelling of 212332303144 in words is "two hundred twelve billion, three hundred thirty-two million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 421 494 842 988 1684 1976 3368 5473 7999 10946 15998 21892 31996 43784 63992 103987 207974 255239 415948 510478 831896 1020956 2041912 3318107 4849541 6636214 9699082 13272428 19398164 26544856 38796328 63044033 107455619 126088066 214911238 252176132 429822476 504352264 859644952 1396923047 2041656761 2793846094 4083313522 5587692188 8166627044 11175384376 16333254088 26541537893 53083075786 106166151572 212332303144