Search a number
-
+
3012103230300 = 2233524872290747
BaseRepresentation
bin101011110101001111010…
…101111101001101011100
3101122221202122122002011000
4223311033111331031130
5343322241411332200
610223424025430300
7430421504005563
oct53651725751534
911587678562130
103012103230300
11a6147582584a
1240792333b390
1318b06a199638
14a5b02506bda
15535420a6300
hex2bd4f57d35c

3012103230300 has 144 divisors (see below), whose sum is σ = 9703242008320. Its totient is φ = 801577840320.

The previous prime is 3012103230239. The next prime is 3012103230307. The reversal of 3012103230300 is 30323012103.

3012103230300 is a `hidden beast` number, since 30 + 1 + 2 + 10 + 323 + 0 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012103230307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169527 + ... + 2460273.

Almost surely, 23012103230300 is an apocalyptic number.

3012103230300 is a gapful number since it is divisible by the number (30) 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 3012103230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851621004160).

3012103230300 is an abundant number, since it is smaller than the sum of its proper divisors (6691138778020).

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

3012103230300 is a wasteful number, since it uses less digits than its factorization.

3012103230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291257 (or 2291244 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3012103230300 its reverse (30323012103), we get a palindrome (3042426242403).

The spelling of 3012103230300 in words is "three trillion, twelve billion, one hundred three million, two hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 487 540 675 900 974 1350 1461 1948 2435 2700 2922 4383 4870 5844 7305 8766 9740 12175 13149 14610 17532 21915 24350 26298 29220 36525 43830 48700 52596 65745 73050 87660 109575 131490 146100 219150 262980 328725 438300 657450 1314900 2290747 4581494 6872241 9162988 11453735 13744482 20616723 22907470 27488964 34361205 41233446 45814940 57268675 61850169 68722410 82466892 103083615 114537350 123700338 137444820 171806025 206167230 229074700 247400676 309250845 343612050 412334460 515418075 618501690 687224100 1030836150 1115593789 1237003380 1546254225 2061672300 2231187578 3092508450 3346781367 4462375156 5577968945 6185016900 6693562734 10040344101 11155937890 13387125468 16733906835 20080688202 22311875780 27889844725 30121032303 33467813670 40161376404 50201720505 55779689450 60242064606 66935627340 83669534175 100403441010 111559378900 120484129212 150605161515 167339068350 200806882020 251008602525 301210323030 334678136700 502017205050 602420646060 753025807575 1004034410100 1506051615150 3012103230300