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211331130 = 235231631879
BaseRepresentation
bin11001001100010…
…10100000111010
3112201122201210220
430212022200322
5413100044010
632545320510
75144166513
oct1446124072
9481581726
10211331130
11a932222a
125a936136
1334a23a0a
14200d1a0a
1513846970
hexc98a83a

211331130 has 64 divisors (see below), whose sum is σ = 532776960. Its totient is φ = 53545536.

The previous prime is 211331117. The next prime is 211331143. The reversal of 211331130 is 31133112.

It is an interprime number because it is at equal distance from previous prime (211331117) and next prime (211331143).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111531 + ... + 113409.

It is an arithmetic number, because the mean of its divisors is an integer number (8324640).

Almost surely, 2211331130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266388480).

211331130 is an abundant number, since it is smaller than the sum of its proper divisors (321445830).

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

211331130 is a wasteful number, since it uses less digits than its factorization.

211331130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 211331130 is about 14537.2325426816. The cubic root of 211331130 is about 595.6454450968.

Adding to 211331130 its reverse (31133112), we get a palindrome (242464242).

The spelling of 211331130 in words is "two hundred eleven million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 163 230 326 345 489 690 815 978 1630 1879 2445 3749 3758 4890 5637 7498 9395 11247 11274 18745 18790 22494 28185 37490 43217 56235 56370 86434 112470 129651 216085 259302 306277 432170 612554 648255 918831 1296510 1531385 1837662 3062770 4594155 7044371 9188310 14088742 21133113 35221855 42266226 70443710 105665565 211331130