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211103120 = 2453497561
BaseRepresentation
bin11001001010100…
…10110110010000
3112201020011001002
430211102312100
5413020244440
632540401132
75142226664
oct1445226620
9481204032
10211103120
11a9186998
125a8461a8
1334973cb7
14200728a4
15137ee115
hexc952d90

211103120 has 40 divisors (see below), whose sum is σ = 492286200. Its totient is φ = 84188160.

The previous prime is 211103119. The next prime is 211103159. The reversal of 211103120 is 21301112.

It can be written as a sum of positive squares in 4 ways, for example, as 19114384 + 191988736 = 4372^2 + 13856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 24140 + ... + 31700.

It is an arithmetic number, because the mean of its divisors is an integer number (12307155).

Almost surely, 2211103120 is an apocalyptic number.

211103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211103120 is an abundant number, since it is smaller than the sum of its proper divisors (281183080).

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

211103120 is a wasteful number, since it uses less digits than its factorization.

211103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7923 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 211103120 is about 14529.3881495402. The cubic root of 211103120 is about 595.4311495011.

Adding to 211103120 its reverse (21301112), we get a palindrome (232404232).

The spelling of 211103120 in words is "two hundred eleven million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349 698 1396 1745 2792 3490 5584 6980 7561 13960 15122 27920 30244 37805 60488 75610 120976 151220 302440 604880 2638789 5277578 10555156 13193945 21110312 26387890 42220624 52775780 105551560 211103120