Search a number
-
+
120012203202100 = 22521129918363901
BaseRepresentation
bin11011010010011010000100…
…101111011001011000110100
3120201221001110210020221011121
4123102122010233121120310
5111212234443004431400
61103124502305513324
734164411162532636
oct3322320457313064
9521831423227147
10120012203202100
113526a986aa5600
1211563204042844
1351c71436ca111
14218c89ba64a56
15dd1bd5b6421a
hex6d2684bd9634

120012203202100 has 54 divisors (see below), whose sum is σ = 286253900575622. Its totient is φ = 43640801160000.

The previous prime is 120012203202013. The next prime is 120012203202137. The reversal of 120012203202100 is 1202302210021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4104327535396 + 115907875666704 = 2025914^2 + 10766052^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 4959169851 + ... + 4959194050.

Almost surely, 2120012203202100 is an apocalyptic number.

120012203202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012203202100 is an abundant number, since it is smaller than the sum of its proper divisors (166241697373522).

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

120012203202100 is a wasteful number, since it uses less digits than its factorization.

120012203202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918363937 (or 9918363919 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120012203202100 its reverse (1202302210021), we get a palindrome (121214505412121).

The spelling of 120012203202100 in words is "one hundred twenty trillion, twelve billion, two hundred three million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 9918363901 19836727802 39673455604 49591819505 99183639010 109102002911 198367278020 218204005822 247959097525 436408011644 495918195050 545510014555 991836390100 1091020029110 1200122032021 2182040058220 2400244064042 2727550072775 4800488128084 5455100145550 6000610160105 10910200291100 12001220320210 24002440640420 30003050800525 60006101601050 120012203202100