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211313024 = 2713292151
BaseRepresentation
bin11001001100001…
…10000110000000
3112201121210222022
430212012012000
5413044004044
632545101012
75144062646
oct1446060600
9481553868
10211313024
11a930a66a
125a927768
1334a186c0
14200c9196
15138413ee
hexc986180

211313024 has 96 divisors (see below), whose sum is σ = 472639440. Its totient is φ = 93542400.

The previous prime is 211313021. The next prime is 211313083. The reversal of 211313024 is 420313112.

It is a super-2 number, since 2×2113130242 = 89306388224049152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211312993 and 211313011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1399349 + ... + 1399499.

Almost surely, 2211313024 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 211313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236319720).

211313024 is an abundant number, since it is smaller than the sum of its proper divisors (261326416).

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

211313024 is a wasteful number, since it uses less digits than its factorization.

211313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 211313024 is about 14536.6097835775. The cubic root of 211313024 is about 595.6284337768.

Adding to 211313024 its reverse (420313112), we get a palindrome (631626136).

The spelling of 211313024 in words is "two hundred eleven million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 151 208 232 302 377 416 464 604 754 832 841 928 1208 1508 1664 1682 1856 1963 2416 3016 3364 3712 3926 4379 4832 6032 6728 7852 8758 9664 10933 12064 13456 15704 17516 19328 21866 24128 26912 31408 35032 43732 48256 53824 56927 62816 70064 87464 107648 113854 125632 126991 140128 174928 227708 251264 253982 280256 349856 455416 507964 560512 699712 910832 1015928 1399424 1650883 1821664 2031856 3301766 3643328 4063712 6603532 7286656 8127424 13207064 16254848 26414128 52828256 105656512 211313024