Search a number
-
+
21324127600 = 2452831314903
BaseRepresentation
bin10011110111000001…
…000101110101110000
32001001010002220211201
4103313001011311300
5322132434040400
613443550020544
71353301044136
oct236701056560
961033086751
1021324127600
119052a06756
1241714a7754
13201ab0c9a9
1410640c7756
1584c12506a
hex4f7045d70

21324127600 has 120 divisors (see below), whose sum is σ = 52254905472. Its totient is φ = 8360851200.

The previous prime is 21324127567. The next prime is 21324127607. The reversal of 21324127600 is 672142312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21324127607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4346749 + ... + 4351651.

Almost surely, 221324127600 is an apocalyptic number.

21324127600 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 21324127600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127452736).

21324127600 is an abundant number, since it is smaller than the sum of its proper divisors (30930777872).

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

21324127600 is a wasteful number, since it uses less digits than its factorization.

21324127600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 21324127600 its reverse (672142312), we get a palindrome (21996269912).

The spelling of 21324127600 in words is "twenty-one billion, three hundred twenty-four million, one hundred twenty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 131 166 200 262 332 400 415 524 655 664 830 1048 1310 1328 1660 2075 2096 2620 3275 3320 4150 4903 5240 6550 6640 8300 9806 10480 10873 13100 16600 19612 21746 24515 26200 33200 39224 43492 49030 52400 54365 78448 86984 98060 108730 122575 173968 196120 217460 245150 271825 392240 406949 434920 490300 543650 642293 813898 869840 980600 1087300 1284586 1627796 1961200 2034745 2174600 2569172 3211465 3255592 4069490 4349200 5138344 6422930 6511184 8138980 10173725 10276688 12845860 16057325 16277960 20347450 25691720 32114650 32555920 40694900 51383440 53310319 64229300 81389800 106620638 128458600 162779600 213241276 256917200 266551595 426482552 533103190 852965104 1066206380 1332757975 2132412760 2665515950 4264825520 5331031900 10662063800 21324127600