Search a number
-
+
21123130300 = 22521931418747
BaseRepresentation
bin10011101011000010…
…010110001110111100
32000112002220012101021
4103223002112032330
5321230010132200
613412005553524
71345310434156
oct235302261674
960462805337
1021123130300
118a5a502488
1241161158a4
131cb829678c
141045525ad6
1583967041a
hex4eb0963bc

21123130300 has 144 divisors (see below), whose sum is σ = 51026734080. Its totient is φ = 7556544000.

The previous prime is 21123130291. The next prime is 21123130339. The reversal of 21123130300 is 303132112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410527 + ... + 2419273.

It is an arithmetic number, because the mean of its divisors is an integer number (354352320).

Almost surely, 221123130300 is an apocalyptic number.

21123130300 is a gapful number since it is divisible by the number (20) 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 21123130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25513367040).

21123130300 is an abundant number, since it is smaller than the sum of its proper divisors (29903603780).

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

21123130300 is a wasteful number, since it uses less digits than its factorization.

21123130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 21123130300 its reverse (303132112), we get a palindrome (21426262412).

The spelling of 21123130300 in words is "twenty-one billion, one hundred twenty-three million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 41 50 62 76 82 95 100 124 155 164 190 205 310 380 410 475 589 620 775 779 820 950 1025 1178 1271 1550 1558 1900 2050 2356 2542 2945 3100 3116 3895 4100 5084 5890 6355 7790 8747 11780 12710 14725 15580 17494 19475 24149 25420 29450 31775 34988 38950 43735 48298 58900 63550 77900 87470 96596 120745 127100 166193 174940 218675 241490 271157 332386 358627 437350 482980 542314 603725 664772 717254 830965 874700 1084628 1207450 1355785 1434508 1661930 1793135 2414900 2711570 3323860 3586270 4154825 5151983 5423140 6778925 6813913 7172540 8309650 8965675 10303966 11117437 13557850 13627826 16619300 17931350 20607932 22234874 25759915 27115700 27255652 34069565 35862700 44469748 51519830 55587185 68139130 103039660 111174370 128799575 136278260 170347825 211231303 222348740 257599150 277935925 340695650 422462606 515198300 555871850 681391300 844925212 1056156515 1111743700 2112313030 4224626060 5280782575 10561565150 21123130300