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211120002 = 23237359883
BaseRepresentation
bin11001001010101…
…10111110000010
3112201021000012100
430211112332002
5413021320002
632541011230
75142330132
oct1445267602
9481230170
10211120002
11a9198645
125a853b16
133497b8a2
1420078ac2
151380411c
hexc956f82

211120002 has 48 divisors (see below), whose sum is σ = 471631680. Its totient is φ = 68203296.

The previous prime is 211119983. The next prime is 211120003. The reversal of 211120002 is 200021112.

211120002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (211120003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238653 + ... + 239535.

It is an arithmetic number, because the mean of its divisors is an integer number (9825660).

Almost surely, 2211120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235815840).

211120002 is an abundant number, since it is smaller than the sum of its proper divisors (260511678).

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

211120002 is a wasteful number, since it uses less digits than its factorization.

211120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 211120002 is about 14529.9690983842. The cubic root of 211120002 is about 595.4470213662.

Adding to 211120002 its reverse (200021112), we get a palindrome (411141114).

The spelling of 211120002 in words is "two hundred eleven million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 359 666 718 883 1077 1766 2154 2649 3231 5298 6462 7947 13283 15894 26566 32671 39849 65342 79698 98013 119547 196026 239094 294039 316997 588078 633994 950991 1901982 2852973 5705946 11728889 23457778 35186667 70373334 105560001 211120002