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202100101201 = 41731012712467
BaseRepresentation
bin1011110000111000011…
…0101101000001010001
3201022122200222212202101
42330032012231001101
511302400111214301
6232502110320401
720413141342015
oct2741606550121
9638580885671
10202100101201
117878a269329
1233202ab9101
131609a4440cb
149ad2d96545
1553cca0b701
hex2f0e1ad051

202100101201 has 32 divisors (see below), whose sum is σ = 212811572736. Its totient is φ = 191756160000.

The previous prime is 202100101171. The next prime is 202100101213. The reversal of 202100101201 is 102101001202.

It is a cyclic number.

It is not a de Polignac number, because 202100101201 - 25 = 202100101169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202100104201) 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 31 ways as a sum of consecutive naturals, for example, 81920170 + ... + 81922636.

It is an arithmetic number, because the mean of its divisors is an integer number (6650361648).

Almost surely, 2202100101201 is an apocalyptic number.

It is an amenable number.

202100101201 is a deficient number, since it is larger than the sum of its proper divisors (10711471535).

202100101201 is a wasteful number, since it uses less digits than its factorization.

202100101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202100101201 its reverse (102101001202), we get a palindrome (304201102403).

Subtracting from 202100101201 its reverse (102101001202), we obtain a palindrome (99999099999).

The spelling of 202100101201 in words is "two hundred two billion, one hundred million, one hundred one thousand, two hundred one".

Divisors: 1 41 73 101 271 2467 2993 4141 7373 11111 19783 27371 101147 180091 249167 302293 668557 811103 1122211 1998083 7383731 10215847 18189191 27410837 48804661 67524257 81921403 745756831 2000991101 2768494537 4929270761 202100101201