Search a number
-
+
10001210020000 = 25541396735803
BaseRepresentation
bin1001000110001001011010…
…0100100001000010100000
31022102002212112002122012221
42101202112210201002200
52302324434231120000
633134254212000424
72051364210344353
oct221422644410240
938362775078187
1010001210020000
113206542363a51
121156375000114
13577157a4a6a4
142680bdb0a29a
1512524b2ac61a
hex918969210a0

10001210020000 has 120 divisors (see below), whose sum is σ = 24606925713216. Its totient is φ = 4000085856000.

The previous prime is 10001210019929. The next prime is 10001210020007. The reversal of 10001210020000 is 2001210001.

It is not an unprimeable number, because it can be changed into a prime (10001210020007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279322099 + ... + 279357901.

Almost surely, 210001210020000 is an apocalyptic number.

10001210020000 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 10001210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303462856608).

10001210020000 is an abundant number, since it is smaller than the sum of its proper divisors (14605715693216).

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

10001210020000 is an equidigital number, since it uses as much as digits as its factorization.

10001210020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49800 (or 49777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10001210020000 its reverse (2001210001), we get a palindrome (10003211230001).

The spelling of 10001210020000 in words is "ten trillion, one billion, two hundred ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 13967 20000 27934 35803 55868 69835 71606 111736 139670 143212 179015 223472 279340 286424 349175 358030 446944 558680 572848 698350 716060 895075 1117360 1145696 1396700 1432120 1745875 1790150 2234720 2793400 2864240 3491750 3580300 4475375 5586800 5728480 6983500 7160600 8729375 8950750 11173600 13967000 14321200 17458750 17901500 22376875 27934000 28642400 34917500 35803000 44753750 55868000 69835000 71606000 89507500 139670000 143212000 179015000 279340000 358030000 500060501 716060000 1000121002 2000242004 2500302505 4000484008 5000605010 8000968016 10001210020 12501512525 16001936032 20002420040 25003025050 40004840080 50006050100 62507562625 80009680160 100012100200 125015125250 200024200400 250030250500 312537813125 400048400800 500060501000 625075626250 1000121002000 1250151252500 2000242004000 2500302505000 5000605010000 10001210020000