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120201100112021 = 9723336131472017
BaseRepresentation
bin11011010101001001111111…
…110111111011000010010101
3120202121010001100010012102112
4123111021333313323002111
5111223333323112041041
61103351342330120405
734214146213011635
oct3325117767730225
9522533040105375
10120201100112021
11353330004168a5
1211593941280105
13520bbb86387b6
142197a9b2bc6c5
15dd6a8e483deb
hex6d527fdfb095

120201100112021 has 16 divisors (see below), whose sum is σ = 121995328828464. Its totient is φ = 118418482151424.

The previous prime is 120201100112011. The next prime is 120201100112047. The reversal of 120201100112021 is 120211001102021.

It can be written as a sum of positive squares in 8 ways, for example, as 76920161731396 + 43280938380625 = 8770414^2 + 6578825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120201100112021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120201100111987 and 120201100112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201100112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80921405 + ... + 82393421.

It is an arithmetic number, because the mean of its divisors is an integer number (7624708051779).

Almost surely, 2120201100112021 is an apocalyptic number.

It is an amenable number.

120201100112021 is a deficient number, since it is larger than the sum of its proper divisors (1794228716443).

120201100112021 is a wasteful number, since it uses less digits than its factorization.

120201100112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475960.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120201100112021 its reverse (120211001102021), we get a palindrome (240412101214042).

The spelling of 120201100112021 in words is "one hundred twenty trillion, two hundred one billion, one hundred million, one hundred twelve thousand, twenty-one".

Divisors: 1 97 233 3613 22601 350461 841829 1472017 81657413 142785649 342979961 5318397421 33269056217 515884549837 1239186599093 120201100112021