Search a number
-
+
13021032300 = 22352318271693
BaseRepresentation
bin11000010000001110…
…10010111101101100
31020121110100222100120
430020013102331230
5203131341013200
65552021524540
7640446643203
oct141007227554
936543328316
1013021032300
115582040321
122634873750
1312c6856c53
148b748223a
155132089a0
hex3081d2f6c

13021032300 has 144 divisors (see below), whose sum is σ = 38959506432. Its totient is φ = 3354220800.

The previous prime is 13021032257. The next prime is 13021032307. The reversal of 13021032300 is 323012031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13021032300.

It is not an unprimeable number, because it can be changed into a prime (13021032307) 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, 7690254 + ... + 7691946.

It is an arithmetic number, because the mean of its divisors is an integer number (270552128).

Almost surely, 213021032300 is an apocalyptic number.

13021032300 is a gapful number since it is divisible by the number (10) 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 13021032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19479753216).

13021032300 is an abundant number, since it is smaller than the sum of its proper divisors (25938474132).

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

13021032300 is a wasteful number, since it uses less digits than its factorization.

13021032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13021032300 its reverse (323012031), we get a palindrome (13344044331).

The spelling of 13021032300 in words is "thirteen billion, twenty-one million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 827 930 1550 1654 1693 1860 2325 2481 3100 3308 3386 4135 4650 4962 5079 6772 8270 8465 9300 9924 10158 12405 16540 16930 20316 20675 24810 25395 25637 33860 41350 42325 49620 50790 51274 52483 62025 76911 82700 84650 101580 102548 104966 124050 126975 128185 153822 157449 169300 209932 248100 253950 256370 262415 307644 314898 384555 507900 512740 524830 629796 640925 769110 787245 1049660 1281850 1312075 1400111 1538220 1574490 1922775 2563700 2624150 2800222 3148980 3845550 3936225 4200333 5248300 5600444 7000555 7691100 7872450 8400666 14001110 15744900 16801332 21001665 28002220 35002775 42003330 43403441 70005550 84006660 86806882 105008325 130210323 140011100 173613764 210016650 217017205 260420646 420033300 434034410 520841292 651051615 868068820 1085086025 1302103230 2170172050 2604206460 3255258075 4340344100 6510516150 13021032300