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1201020202112 = 2729323550701
BaseRepresentation
bin10001011110100010011…
…000011110110010000000
311020211001011101202011212
4101132202120132302000
5124134142132431422
62315424023025252
7152525254164143
oct21364230366200
94224034352155
101201020202112
11423393659035
1217492329b228
1389342a792b3
14421b5c1405a
152139455c9e2
hex117a261ec80

1201020202112 has 32 divisors (see below), whose sum is σ = 2475162870300. Its totient is φ = 579802854400.

The previous prime is 1201020202103. The next prime is 1201020202117. The reversal of 1201020202112 is 2112020201021.

It can be written as a sum of positive squares in 2 ways, for example, as 1118568525376 + 82451676736 = 1057624^2 + 287144^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×12010202021123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1201020202117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161771639 + ... + 161779062.

Almost surely, 21201020202112 is an apocalyptic number.

It is an amenable number.

1201020202112 is an abundant number, since it is smaller than the sum of its proper divisors (1274142668188).

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

1201020202112 is an equidigital number, since it uses as much as digits as its factorization.

1201020202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323550744 (or 323550732 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1201020202112 its reverse (2112020201021), we get a palindrome (3313040403133).

The spelling of 1201020202112 in words is "one trillion, two hundred one billion, twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 323550701 647101402 1294202804 2588405608 5176811216 9382970329 10353622432 18765940658 20707244864 37531881316 41414489728 75063762632 150127525264 300255050528 600510101056 1201020202112