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11201211208 = 2311199776857
BaseRepresentation
bin10100110111010010…
…01110101101001000
31001220122001111010101
422123221032231020
5140420002224313
65051252455144
7544401503305
oct123351165510
931818044111
1011201211208
114828878850
12220731a4b4
131096817035
147838ca0ac
154585875dd
hex29ba4eb48

11201211208 has 64 divisors (see below), whose sum is σ = 24145646400. Its totient is φ = 4817848320.

The previous prime is 11201211017. The next prime is 11201211211. The reversal of 11201211208 is 80211210211.

11201211208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112012112083 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1630116 + ... + 1636972.

It is an arithmetic number, because the mean of its divisors is an integer number (377275725).

Almost surely, 211201211208 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 11201211208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12072823200).

11201211208 is an abundant number, since it is smaller than the sum of its proper divisors (12944435192).

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

11201211208 is a wasteful number, since it uses less digits than its factorization.

11201211208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7870 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 11201211208 its reverse (80211210211), we get a palindrome (91412421419).

The spelling of 11201211208 in words is "eleven billion, two hundred one million, two hundred eleven thousand, two hundred eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 977 1672 1954 3908 6857 7816 10747 13714 18563 21494 27428 37126 42988 54856 74252 75427 85976 130283 148504 150854 204193 260566 301708 408386 521132 603416 816772 1042264 1433113 1633544 2866226 5732452 6699289 11464904 13398578 26797156 53594312 73692179 127286491 147384358 254572982 294768716 509145964 589537432 1018291928 1400151401 2800302802 5600605604 11201211208