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211110020 = 225116115731
BaseRepresentation
bin11001001010101…
…00100010000100
3112201020111111122
430211110202010
5413021010040
632540453112
75142256052
oct1445244204
9481214448
10211110020
11a91910a0
125a84a198
1334977194
14200751d2
15138011b5
hexc954884

211110020 has 48 divisors (see below), whose sum is σ = 491593536. Its totient is φ = 75504000.

The previous prime is 211110017. The next prime is 211110061. The reversal of 211110020 is 20011112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5555 + ... + 21285.

It is an arithmetic number, because the mean of its divisors is an integer number (10241532).

Almost surely, 2211110020 is an apocalyptic number.

211110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245796768).

211110020 is an abundant number, since it is smaller than the sum of its proper divisors (280483516).

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

211110020 is a wasteful number, since it uses less digits than its factorization.

211110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15812 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 211110020 is about 14529.6255973786. The cubic root of 211110020 is about 595.4376367417.

Adding to 211110020 its reverse (20011112), we get a palindrome (231121132).

The spelling of 211110020 in words is "two hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 13420 15731 31462 62924 78655 157310 173041 314620 346082 692164 865205 959591 1730410 1919182 3460820 3838364 4797955 9595910 10555501 19191820 21111002 42222004 52777505 105555010 211110020