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3201011300000 = 2555291103797
BaseRepresentation
bin101110100101001011001…
…001000011011010100000
3102100000100222111022202002
4232211023021003122200
5404421132343100000
610450305125143132
7450160021054433
oct56451311033240
912300328438662
103201011300000
1110245a54795a8
1243846425aaa8
131a2b14514737
14b0d0342781a
15583eb87c8d5
hex2e94b2436a0

3201011300000 has 144 divisors (see below), whose sum is σ = 8148612127320. Its totient is φ = 1236251520000.

The previous prime is 3201011299991. The next prime is 3201011300017. The reversal of 3201011300000 is 31101023.

It can be written as a sum of positive squares in 12 ways, for example, as 1453210962064 + 1747800337936 = 1205492^2 + 1322044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2348102 + ... + 3451898.

Almost surely, 23201011300000 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 3201011300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074306063660).

3201011300000 is an abundant number, since it is smaller than the sum of its proper divisors (4947600827320).

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

3201011300000 is an equidigital number, since it uses as much as digits as its factorization.

3201011300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103861 (or 1103833 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 3201011300000 its reverse (31101023), we get a palindrome (3201042401023).

The spelling of 3201011300000 in words is "three trillion, two hundred one billion, eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3125 3625 4000 4640 5000 5800 6250 7250 10000 11600 12500 14500 18125 20000 23200 25000 29000 36250 50000 58000 72500 90625 100000 116000 145000 181250 290000 362500 580000 725000 1103797 1450000 2207594 2900000 4415188 5518985 8830376 11037970 17660752 22075940 27594925 32010113 35321504 44151880 55189850 64020226 88303760 110379700 128040452 137974625 160050565 176607520 220759400 256080904 275949250 320101130 441518800 512161808 551898500 640202260 689873125 800252825 883037600 1024323616 1103797000 1280404520 1379746250 1600505650 2207594000 2560809040 2759492500 3201011300 3449365625 4001264125 4415188000 5121618080 5518985000 6402022600 6898731250 8002528250 11037970000 12804045200 13797462500 16005056500 20006320625 22075940000 25608090400 27594925000 32010113000 40012641250 55189850000 64020226000 80025282500 100031603125 110379700000 128040452000 160050565000 200063206250 320101130000 400126412500 640202260000 800252825000 1600505650000 3201011300000