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211360104 = 23341917167
BaseRepresentation
bin11001001100100…
…01100101101000
3112201201012120000
430212101211220
5413102010404
632550103000
75144350134
oct1446214550
9481635500
10211360104
11a9341a7a
125a94aa60
1334a33c67
14200dc3c4
1513850339
hexc991968

211360104 has 80 divisors (see below), whose sum is σ = 623198400. Its totient is φ = 66741408.

The previous prime is 211360073. The next prime is 211360109. The reversal of 211360104 is 401063112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211360109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3729 + ... + 20895.

It is an arithmetic number, because the mean of its divisors is an integer number (7789980).

Almost surely, 2211360104 is an apocalyptic number.

211360104 is a gapful number since it is divisible by the number (24) 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 211360104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311599200).

211360104 is an abundant number, since it is smaller than the sum of its proper divisors (411838296).

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

211360104 is a wasteful number, since it uses less digits than its factorization.

211360104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17204 (or 17191 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 211360104 is about 14538.2290530862. The cubic root of 211360104 is about 595.6726653214.

The spelling of 211360104 in words is "two hundred eleven million, three hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 12312 17167 34334 51501 68668 103002 137336 154503 206004 309006 326173 412008 463509 618012 652346 927018 978519 1236024 1304692 1390527 1854036 1957038 2609384 2781054 2935557 3708072 3914076 5562108 5871114 7828152 8806671 11124216 11742228 17613342 23484456 26420013 35226684 52840026 70453368 105680052 211360104