Search a number
-
+
12001101300 = 22325231430147
BaseRepresentation
bin10110010110101001…
…00100010111110100
31010222101012010001100
423023110210113310
5144034240220200
65302505130100
7603253451346
oct131324442764
933871163040
1012001101300
1150a9344041
1223ab189930
13119345bb96
1481bc27296
154a38dbd00
hex2cb5245f4

12001101300 has 108 divisors (see below), whose sum is σ = 38830320256. Its totient is φ = 3097051200.

The previous prime is 12001101283. The next prime is 12001101311. The reversal of 12001101300 is 310110021.

12001101300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 187174 + ... + 242973.

Almost surely, 212001101300 is an apocalyptic number.

12001101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001101300 is an abundant number, since it is smaller than the sum of its proper divisors (26829218956).

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

12001101300 is a wasteful number, since it uses less digits than its factorization.

12001101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430198 (or 430188 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12001101300 its reverse (310110021), we get a palindrome (12311211321).

It can be divided in two parts, 1200 and 1101300, that added together give a square (1102500 = 10502).

The spelling of 12001101300 in words is "twelve billion, one million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 4650 5580 6975 9300 13950 27900 430147 860294 1290441 1720588 2150735 2580882 3871323 4301470 5161764 6452205 7742646 8602940 10753675 12904410 13334557 15485292 19356615 21507350 25808820 26669114 32261025 38713230 40003671 43014700 53338228 64522050 66672785 77426460 80007342 96783075 120011013 129044100 133345570 160014684 193566150 200018355 240022026 266691140 333363925 387132300 400036710 480044052 600055065 666727850 800073420 1000091775 1200110130 1333455700 2000183550 2400220260 3000275325 4000367100 6000550650 12001101300