Search a number
-
+
41321352300 = 223521013134357
BaseRepresentation
bin100110011110111100…
…011100110001101100
310221122202102012002120
4212132330130301230
51134111231233200
630552135552540
72661660461604
oct463674346154
9127582365076
1041321352300
111658490a638
12801252b750
133b86a55327
141dddc89c04
15111c9e39a0
hex99ef1cc6c

41321352300 has 144 divisors (see below), whose sum is σ = 121153724832. Its totient is φ = 10872576000.

The previous prime is 41321352299. The next prime is 41321352307. The reversal of 41321352300 is 325312314.

It is not an unprimeable number, because it can be changed into a prime (41321352307) 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, 9481722 + ... + 9486078.

Almost surely, 241321352300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41321352300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60576862416).

41321352300 is an abundant number, since it is smaller than the sum of its proper divisors (79832372532).

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

41321352300 is a wasteful number, since it uses less digits than its factorization.

41321352300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 41321352300 its reverse (325312314), we get a palindrome (41646664614).

The spelling of 41321352300 in words is "forty-one billion, three hundred twenty-one million, three hundred fifty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 313 404 505 606 626 939 1010 1212 1252 1515 1565 1878 2020 2525 3030 3130 3756 4357 4695 5050 6060 6260 7575 7825 8714 9390 10100 13071 15150 15650 17428 18780 21785 23475 26142 30300 31300 31613 43570 46950 52284 63226 65355 87140 93900 94839 108925 126452 130710 158065 189678 217850 261420 316130 326775 379356 435700 440057 474195 632260 653550 790325 880114 948390 1307100 1320171 1363741 1580650 1760228 1896780 2200285 2370975 2640342 2727482 3161300 4091223 4400570 4741950 5280684 5454964 6600855 6818705 8182446 8801140 9483900 11001425 13201710 13637410 16364892 20456115 22002850 26403420 27274820 33004275 34093525 40912230 44005700 66008550 68187050 81824460 102280575 132017100 136374100 137737841 204561150 275475682 409122300 413213523 550951364 688689205 826427046 1377378410 1652854092 2066067615 2754756820 3443446025 4132135230 6886892050 8264270460 10330338075 13773784100 20660676150 41321352300