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12001011100 = 2252132710119
BaseRepresentation
bin10110010110101000…
…01110010110011100
31010222101000112022121
423023110032112130
5144034224323400
65302503152324
7603252624361
oct131324162634
933871015277
1012001011100
1150a92922a1
1223ab1456a4
131193429b00
1481bc02468
154a38c021a
hex2cb50e59c

12001011100 has 54 divisors (see below), whose sum is σ = 28199575320. Its totient is φ = 4431136320.

The previous prime is 12001011091. The next prime is 12001011103. The reversal of 12001011100 is 111010021.

12001011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001011103) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 338160 + ... + 371959.

Almost surely, 212001011100 is an apocalyptic number.

12001011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001011100 is an abundant number, since it is smaller than the sum of its proper divisors (16198564220).

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

12001011100 is a wasteful number, since it uses less digits than its factorization.

12001011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710159 (or 710139 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12001011100 its reverse (111010021), we get a palindrome (12112021121).

The spelling of 12001011100 in words is "twelve billion, one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 710119 1420238 2840476 3550595 7101190 9231547 14202380 17752975 18463094 35505950 36926188 46157735 71011900 92315470 120010111 184630940 230788675 240020222 461577350 480040444 600050555 923154700 1200101110 2400202220 3000252775 6000505550 12001011100