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213441122032 = 24234323956437
BaseRepresentation
bin1100011011001000010…
…1010000111011110000
3202101221002010102121221
43012302011100323300
511444111411401112
6242015315554424
721264161413465
oct3066205207360
9671832112557
10213441122032
1182579a49116
1235448bbba14
1317186bcc918
14a48b27766c
1558434ade07
hex31b2150ef0

213441122032 has 80 divisors (see below), whose sum is σ = 443413048320. Its totient is φ = 99287629056.

The previous prime is 213441122029. The next prime is 213441122047. The reversal of 213441122032 is 230221144312.

It is a super-2 number, since 2×2134411220322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213441121988 and 213441122006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3753718 + ... + 3810154.

It is an arithmetic number, because the mean of its divisors is an integer number (5542663104).

Almost surely, 2213441122032 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 213441122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221706524160).

213441122032 is an abundant number, since it is smaller than the sum of its proper divisors (229971926288).

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

213441122032 is a wasteful number, since it uses less digits than its factorization.

213441122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56750 (or 56744 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 213441122032 its reverse (230221144312), we get a palindrome (443662266344).

The spelling of 213441122032 in words is "two hundred thirteen billion, four hundred forty-one million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 239 344 368 478 688 956 989 1912 1978 3824 3956 5497 7912 10277 10994 15824 20554 21988 41108 43976 56437 82216 87952 112874 164432 225748 236371 451496 472742 902992 945484 1298051 1890968 2426791 2596102 3781936 4853582 5192204 9707164 10384408 13488443 19414328 20768816 26976886 38828656 53953772 55816193 107907544 111632386 215815088 223264772 310234189 446529544 580003049 620468378 893059088 1160006098 1240936756 2320012196 2481873512 4640024392 4963747024 9280048784 13340070127 26680140254 53360280508 106720561016 213441122032