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11000223100 = 22524710123173
BaseRepresentation
bin10100011111010101…
…00001010101111100
31001101121212020021101
422033222201111330
5140012024114400
65015312542444
7536411232166
oct121752412574
931347766241
1011000223100
114735380479
12216bb51a24
131063ca5069
14764d2b936
15445ad556a
hex28faa157c

11000223100 has 72 divisors (see below), whose sum is σ = 24620799168. Its totient is φ = 4263648000.

The previous prime is 11000223089. The next prime is 11000223103. The reversal of 11000223100 is 132200011.

It is a super-2 number, since 2×110002231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000223103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463114 + ... + 486286.

It is an arithmetic number, because the mean of its divisors is an integer number (341955544).

Almost surely, 211000223100 is an apocalyptic number.

11000223100 is a gapful number since it is divisible by the number (10) 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 11000223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12310399584).

11000223100 is an abundant number, since it is smaller than the sum of its proper divisors (13620576068).

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

11000223100 is a wasteful number, since it uses less digits than its factorization.

11000223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23335 (or 23328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11000223100 its reverse (132200011), we get a palindrome (11132423111).

The spelling of 11000223100 in words is "eleven billion, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 101 188 202 235 404 470 505 940 1010 1175 2020 2350 2525 4700 4747 5050 9494 10100 18988 23173 23735 46346 47470 92692 94940 115865 118675 231730 237350 463460 474700 579325 1089131 1158650 2178262 2317300 2340473 4356524 4680946 5445655 9361892 10891310 11702365 21782620 23404730 27228275 46809460 54456550 58511825 108913100 110002231 117023650 220004462 234047300 440008924 550011155 1100022310 2200044620 2750055775 5500111550 11000223100