Search a number
-
+
10012120223300 = 2252137701630941
BaseRepresentation
bin1001000110110010000011…
…0111101000111001000100
31022110011000212120101112122
42101230200313220321010
52303014310234121200
633143300551305112
72052231446502266
oct221544067507104
938404025511478
1010012120223300
11321013093a198
1211584ba97b198
135781a61947a0
14268836ac3b36
15125689010385
hex91b20de8e44

10012120223300 has 36 divisors (see below), whose sum is σ = 23397554801796. Its totient is φ = 3696782851200.

The previous prime is 10012120223279. The next prime is 10012120223323. The reversal of 10012120223300 is 332202121001.

It can be written as a sum of positive squares in 6 ways, for example, as 2267264993536 + 7744855229764 = 1505744^2 + 2782958^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3850814171 + ... + 3850816770.

Almost surely, 210012120223300 is an apocalyptic number.

10012120223300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012120223300 is an abundant number, since it is smaller than the sum of its proper divisors (13385434578496).

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

10012120223300 is a wasteful number, since it uses less digits than its factorization.

10012120223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701630968 (or 7701630961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10012120223300 its reverse (332202121001), we get a palindrome (10344322344301).

The spelling of 10012120223300 in words is "ten trillion, twelve billion, one hundred twenty million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 7701630941 15403261882 30806523764 38508154705 77016309410 100121202233 154032618820 192540773525 200242404466 385081547050 400484808932 500606011165 770163094100 1001212022330 2002424044660 2503030055825 5006060111650 10012120223300