Search a number
-
+
1201012020020 = 225353170115017
BaseRepresentation
bin10001011110100001111…
…001010001001100110100
311020211000121000001110102
4101132201321101030310
5124134133034120040
62315423131413232
7152525124505511
oct21364171211464
94224017001412
101201012020020
11423389a7a77a
121749205b4218
1389341173017
14421b4ac4308
1521393993515
hex117a1e51334

1201012020020 has 24 divisors (see below), whose sum is σ = 2529270087624. Its totient is φ = 479043885056.

The previous prime is 1201012020017. The next prime is 1201012020029. The reversal of 1201012020020 is 200202101021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62766283024 + 1138245736996 = 250532^2 + 1066886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1201012019983 and 1201012020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201012020029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 85050449 + ... + 85064568.

It is an arithmetic number, because the mean of its divisors is an integer number (105386253651).

Almost surely, 21201012020020 is an apocalyptic number.

1201012020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201012020020 is an abundant number, since it is smaller than the sum of its proper divisors (1328258067604).

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

1201012020020 is a wasteful number, since it uses less digits than its factorization.

1201012020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170115379 (or 170115377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1201012020020 its reverse (200202101021), we get a palindrome (1401214121041).

The spelling of 1201012020020 in words is "one trillion, two hundred one billion, twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 170115017 340230034 680460068 850575085 1701150170 3402300340 60050601001 120101202002 240202404004 300253005005 600506010010 1201012020020