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12000331110 = 23517157149873
BaseRepresentation
bin10110010110100011…
…01000010101100110
31010222022201222112210
423023101220111212
5144034041043420
65302440424250
7603244063035
oct131321502546
933868658483
1012000331110
1150a8968419
1223aaa78086
13119324c451
1481baa671c
154a37d89e0
hex2cb468566

12000331110 has 64 divisors (see below), whose sum is σ = 30689399232. Its totient is φ = 2992644096.

The previous prime is 12000331103. The next prime is 12000331117. The reversal of 12000331110 is 1113300021.

It is an interprime number because it is at equal distance from previous prime (12000331103) and next prime (12000331117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000331117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5134 + ... + 155006.

It is an arithmetic number, because the mean of its divisors is an integer number (479521863).

Almost surely, 212000331110 is an apocalyptic number.

12000331110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000331110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344699616).

12000331110 is an abundant number, since it is smaller than the sum of its proper divisors (18689068122).

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

12000331110 is a wasteful number, since it uses less digits than its factorization.

12000331110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150057.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12000331110 its reverse (1113300021), we get a palindrome (13113631131).

The spelling of 12000331110 in words is "twelve billion, three hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 157 170 255 314 471 510 785 942 1570 2355 2669 4710 5338 8007 13345 16014 26690 40035 80070 149873 299746 449619 749365 899238 1498730 2248095 2547841 4496190 5095682 7643523 12739205 15287046 23530061 25478410 38217615 47060122 70590183 76435230 117650305 141180366 235300610 352950915 400011037 705901830 800022074 1200033111 2000055185 2400066222 4000110370 6000165555 12000331110