Search a number
-
+
12201111100 = 2252208158631
BaseRepresentation
bin10110101110011111…
…00010111000111100
31011111022112122220201
423113033202320330
5144441441023400
65334412053244
7611232506323
oct132717427074
934438478821
1012201111100
1151a12333a2
122446164224
1311c5a1a789
1483a60d0ba
154b624906a
hex2d73e2e3c

12201111100 has 36 divisors (see below), whose sum is σ = 26489585808. Its totient is φ = 4878016000.

The previous prime is 12201111073. The next prime is 12201111103. The reversal of 12201111100 is 111110221.

It is a super-2 number, since 2×122011111002 (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 (12201111103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178785 + ... + 237415.

It is an arithmetic number, because the mean of its divisors is an integer number (735821828).

Almost surely, 212201111100 is an apocalyptic number.

12201111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201111100 is an abundant number, since it is smaller than the sum of its proper divisors (14288474708).

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

12201111100 is a wasteful number, since it uses less digits than its factorization.

12201111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60726 (or 60719 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12201111100 its reverse (111110221), we get a palindrome (12312221321).

The spelling of 12201111100 in words is "twelve billion, two hundred one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2081 4162 8324 10405 20810 41620 52025 58631 104050 117262 208100 234524 293155 586310 1172620 1465775 2931550 5863100 122011111 244022222 488044444 610055555 1220111110 2440222220 3050277775 6100555550 12201111100