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211101104 = 24174318049
BaseRepresentation
bin11001001010100…
…10010110110000
3112201020001021102
430211102112300
5413020213404
632540343532
75142221054
oct1445222660
9481201242
10211101104
11a9185425
125a844ba8
13349730c6
1420071c64
15137ed71e
hexc9525b0

211101104 has 40 divisors (see below), whose sum is σ = 443163600. Its totient is φ = 97026048.

The previous prime is 211101097. The next prime is 211101109. The reversal of 211101104 is 401101112.

It is a super-2 number, since 2×2111011042 = 89127352220037632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211101109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2672 + ... + 20720.

It is an arithmetic number, because the mean of its divisors is an integer number (11079090).

Almost surely, 2211101104 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 211101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221581800).

211101104 is an abundant number, since it is smaller than the sum of its proper divisors (232062496).

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

211101104 is a wasteful number, since it uses less digits than its factorization.

211101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18117 (or 18111 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 211101104 is about 14529.3187727436. The cubic root of 211101104 is about 595.4292540720.

Adding to 211101104 its reverse (401101112), we get a palindrome (612202216).

The spelling of 211101104 in words is "two hundred eleven million, one hundred one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 2924 5848 11696 18049 36098 72196 144392 288784 306833 613666 776107 1227332 1552214 2454664 3104428 4909328 6208856 12417712 13193819 26387638 52775276 105550552 211101104