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211141244032 = 273197548567
BaseRepresentation
bin1100010010100011111…
…1111011010010000000
3202011222210111112010021
43010220333323102000
511424404124302112
6240555201343224
721153163651015
oct3045077732200
9664883445107
10211141244032
11815a98007a4
1234b06937b14
1316bab59b174
14a30da3b70c
15575b613907
hex3128ffb480

211141244032 has 64 divisors (see below), whose sum is σ = 438678858240. Its totient is φ = 101111685120.

The previous prime is 211141244029. The next prime is 211141244051. The reversal of 211141244032 is 230442141112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 211141243988 and 211141244006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110613 + ... + 659179.

It is an arithmetic number, because the mean of its divisors is an integer number (6854357160).

Almost surely, 2211141244032 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 211141244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219339429120).

211141244032 is an abundant number, since it is smaller than the sum of its proper divisors (227537614208).

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

211141244032 is an equidigital number, since it uses as much as digits as its factorization.

211141244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548709 (or 548697 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 211141244032 its reverse (230442141112), we get a palindrome (441583385144).

The spelling of 211141244032 in words is "two hundred eleven billion, one hundred forty-one million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 97 124 128 194 248 388 496 776 992 1552 1984 3007 3104 3968 6014 6208 12028 12416 24056 48112 96224 192448 384896 548567 1097134 2194268 4388536 8777072 17005577 17554144 34011154 35108288 53210999 68022308 70216576 106421998 136044616 212843996 272089232 425687992 544178464 851375984 1088356928 1649540969 1702751968 2176713856 3299081938 3405503936 6598163876 6811007872 13196327752 26392655504 52785311008 105570622016 211141244032