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10021210201 = 174136973889
BaseRepresentation
bin10010101010100111…
…11000100001011001
3221212101200020001101
421111103320201121
5131010412211301
64334221151401
7503222611162
oct112523704131
927771606041
1010021210201
114282791602
121b380bb561
13c392056a2
146b0cc4769
153d9b9c701
hex2554f8859

10021210201 has 16 divisors (see below), whose sum is σ = 10875226320. Its totient is φ = 9196830720.

The previous prime is 10021210187. The next prime is 10021210219. The reversal of 10021210201 is 10201212001.

It can be written as a sum of positive squares in 8 ways, for example, as 655616025 + 9365594176 = 25605^2 + 96776^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021210201 - 25 = 10021210169 is a prime.

It is a super-4 number, since 4×100212102014 (a number of 41 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021210231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2574865 + ... + 2578753.

It is an arithmetic number, because the mean of its divisors is an integer number (679701645).

Almost surely, 210021210201 is an apocalyptic number.

It is an amenable number.

10021210201 is a deficient number, since it is larger than the sum of its proper divisors (854016119).

10021210201 is a wasteful number, since it uses less digits than its factorization.

10021210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644.

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

Adding to 10021210201 its reverse (10201212001), we get a palindrome (20222422202).

The spelling of 10021210201 in words is "ten billion, twenty-one million, two hundred ten thousand, two hundred one".

Divisors: 1 17 41 697 3697 3889 62849 66113 151577 159449 2576809 2710633 14377633 244419761 589482953 10021210201