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20101012211 = 721730197993
BaseRepresentation
bin10010101110000111…
…010001101011110011
31220212212121012221202
4102232013101223303
5312131324342321
613122334241415
71311056533100
oct225607215363
956785535852
1020101012211
118585551a95
123a8b95626b
131b845b4087
14d8989baa7
157c9a7070b
hex4ae1d1af3

20101012211 has 24 divisors (see below), whose sum is σ = 24769568880. Its totient is φ = 16208543232.

The previous prime is 20101012207. The next prime is 20101012241. The reversal of 20101012211 is 11221010102.

It is not a de Polignac number, because 20101012211 - 22 = 20101012207 is a prime.

It is a super-2 number, since 2×201010122112 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101012192 and 20101012201.

It is not an unprimeable number, because it can be changed into a prime (20101012241) 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 23 ways as a sum of consecutive naturals, for example, 2510831 + ... + 2518823.

It is an arithmetic number, because the mean of its divisors is an integer number (1032065370).

Almost surely, 220101012211 is an apocalyptic number.

20101012211 is a deficient number, since it is larger than the sum of its proper divisors (4668556669).

20101012211 is a wasteful number, since it uses less digits than its factorization.

20101012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11043 (or 11036 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20101012211 its reverse (11221010102), we get a palindrome (31322022313).

The spelling of 20101012211 in words is "twenty billion, one hundred one million, twelve thousand, two hundred eleven".

Divisors: 1 7 17 49 119 833 3019 7993 21133 51323 55951 135881 147931 359261 391657 951167 2514827 6658169 24130867 168916069 410224739 1182412483 2871573173 20101012211