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210101202101012 = 22175252535882353
BaseRepresentation
bin101111110001010111111111…
…100001001010001100010100
31000112220110221000110201020012
4233301113333201022030110
5210014244230214213022
62022503054302455352
762153211435436235
oct5761277741121424
91015813830421205
10210101202101012
1160a43468293782
121b69302b594558
1390305c5ca56c1
1439c4d496cd08c
151945333a1ede2
hexbf15ff84a314

210101202101012 has 24 divisors (see below), whose sum is σ = 389305975957416. Its totient is φ = 98870948886528.

The previous prime is 210101202101009. The next prime is 210101202101017.

210101202101012 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 147598832748676 + 62502369352336 = 12149026^2 + 7905844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210101202101017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32776028 + ... + 38658380.

It is an arithmetic number, because the mean of its divisors is an integer number (16221082331559).

Almost surely, 2210101202101012 is an apocalyptic number.

It is an amenable number.

210101202101012 is a deficient number, since it is larger than the sum of its proper divisors (179204773856404).

210101202101012 is a wasteful number, since it uses less digits than its factorization.

210101202101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407627 (or 6407625 counting only the distinct ones).

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

It can be divided in two parts, 21010120 and 2101012, that added together give a palindrome (23111132).

The spelling of 210101202101012 in words is "two hundred ten trillion, one hundred one billion, two hundred two million, one hundred one thousand, twelve".

Divisors: 1 2 4 17 34 68 525253 1050506 2101012 5882353 8929301 11764706 17858602 23529412 35717204 100000001 200000002 400000004 3089723560309 6179447120618 12358894241236 52525300525253 105050601050506 210101202101012