Search a number
-
+
2102110211200 = 2752657199971
BaseRepresentation
bin11110100101101111100…
…010000100110010000000
321102221220200020000210011
4132211233202010302000
5233420110203224300
64245410205114304
7304605151656556
oct36455742046200
97387820200704
102102110211200
1174055545988a
1229b4a0558994
131232c72c869c
1473a57c97bd6
1539a325e9eba
hex1e96f884c80

2102110211200 has 96 divisors (see below), whose sum is σ = 5193711353520. Its totient is φ = 840707712000.

The previous prime is 2102110211191. The next prime is 2102110211231. The reversal of 2102110211200 is 21120112012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20977215 + ... + 21077185.

Almost surely, 22102110211200 is an apocalyptic number.

2102110211200 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 2102110211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596855676760).

2102110211200 is an abundant number, since it is smaller than the sum of its proper divisors (3091601142320).

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

2102110211200 is an equidigital number, since it uses as much as digits as its factorization.

2102110211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106566 (or 106549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2102110211200 its reverse (21120112012), we get a palindrome (2123230323212).

The spelling of 2102110211200 in words is "two trillion, one hundred two billion, one hundred ten million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 6571 13142 26284 32855 52568 65710 99971 105136 131420 164275 199942 210272 262840 328550 399884 420544 499855 525680 657100 799768 841088 999710 1051360 1314200 1599536 1999420 2102720 2499275 2628400 3199072 3998840 4205440 4998550 5256800 6398144 7997680 9997100 10513600 12796288 15995360 19994200 21027200 31990720 39988400 63981440 79976800 159953600 319907200 656909441 1313818882 2627637764 3284547205 5255275528 6569094410 10510551056 13138188820 16422736025 21021102112 26276377640 32845472050 42042204224 52552755280 65690944100 84084408448 105105510560 131381888200 210211021120 262763776400 420422042240 525527552800 1051055105600 2102110211200