Search a number
-
+
10000221231100 = 2252671511987803
BaseRepresentation
bin1001000110000101101110…
…1000100101011111111100
31022102000022121111221211211
42101201123220211133330
52302320423113343400
633134012130454204
72051330542646032
oct221413350453774
938360277457754
1010000221231100
1132060851a8241
121156139a34364
1357702ac373b9
1426802867a552
151251de592dba
hex9185ba257fc

10000221231100 has 72 divisors (see below), whose sum is σ = 22038966165888. Its totient is φ = 3937773892800.

The previous prime is 10000221231083. The next prime is 10000221231101. The reversal of 10000221231100 is 113212200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000221231101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9629799 + ... + 10617601.

It is an arithmetic number, because the mean of its divisors is an integer number (306096752304).

Almost surely, 210000221231100 is an apocalyptic number.

10000221231100 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 10000221231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11019483082944).

10000221231100 is an abundant number, since it is smaller than the sum of its proper divisors (12038744934788).

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

10000221231100 is a wasteful number, since it uses less digits than its factorization.

10000221231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989395 (or 989388 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10000221231100 its reverse (113212200001), we get a palindrome (10113433431101).

The spelling of 10000221231100 in words is "ten trillion, two hundred twenty-one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1511 1675 3022 3350 6044 6700 7555 15110 30220 37775 75550 101237 151100 202474 404948 506185 987803 1012370 1975606 2024740 2530925 3951212 4939015 5061850 9878030 10123700 19756060 24695075 49390150 66182801 98780300 132365602 264731204 330914005 661828010 1323656020 1492570333 1654570025 2985140666 3309140050 5970281332 6618280100 7462851665 14925703330 29851406660 37314258325 74628516650 100002212311 149257033300 200004424622 400008849244 500011061555 1000022123110 2000044246220 2500055307775 5000110615550 10000221231100