Search a number
-
+
10210201122100 = 2252765532225851
BaseRepresentation
bin1001010010010011111101…
…1010010011010100110100
31100011002022110201122002211
42110210333122103110310
52314240442441401400
633414300204343204
72102443205403130
oct224447732232464
940132273648084
1010210201122100
113287138399241
12118a97b844b04
13590a82a22b05
14274267d683c0
1512a8cdc51dba
hex9493f693534

10210201122100 has 72 divisors (see below), whose sum is σ = 25325174237888. Its totient is φ = 3500104608000.

The previous prime is 10210201122083. The next prime is 10210201122103. The reversal of 10210201122100 is 122110201201.

10210201122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210201122103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3474175 + ... + 5700025.

Almost surely, 210210201122100 is an apocalyptic number.

10210201122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210201122100 is an abundant number, since it is smaller than the sum of its proper divisors (15114973115788).

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

10210201122100 is a wasteful number, since it uses less digits than its factorization.

10210201122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232425 (or 2232418 counting only the distinct ones).

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

Adding to 10210201122100 its reverse (122110201201), we get a palindrome (10332311323301).

The spelling of 10210201122100 in words is "ten trillion, two hundred ten billion, two hundred one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 6553 13106 26212 32765 45871 65530 91742 131060 163825 183484 229355 327650 458710 655300 917420 1146775 2225851 2293550 4451702 4587100 8903404 11129255 15580957 22258510 31161914 44517020 55646275 62323828 77904785 111292550 155809570 222585100 311619140 389523925 779047850 1558095700 14586001603 29172003206 58344006412 72930008015 102102011221 145860016030 204204022442 291720032060 364650040075 408408044884 510510056105 729300080150 1021020112210 1458600160300 2042040224420 2552550280525 5105100561050 10210201122100