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21002123112311 = 11273137117114821
BaseRepresentation
bin1001100011001111100000…
…00101100110111101110111
32202100210011001220012201002
410301213300011212331313
510223044322004043221
6112400124150153515
74265232121645505
oct461476005467567
982323131805632
1021002123112311
116767a4aa77700
12243242865289b
13b946513a0343
14528718649675
152664a7bcc80b
hex1319f0166f77

21002123112311 has 48 divisors (see below), whose sum is σ = 23593744263264. Its totient is φ = 18676614528000.

The previous prime is 21002123112307. The next prime is 21002123112391. The reversal of 21002123112311 is 11321132120012.

It is not a de Polignac number, because 21002123112311 - 22 = 21002123112307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002123112391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417044281 + ... + 1417059101.

It is an arithmetic number, because the mean of its divisors is an integer number (491536338818).

Almost surely, 221002123112311 is an apocalyptic number.

21002123112311 is a deficient number, since it is larger than the sum of its proper divisors (2591621150953).

21002123112311 is a wasteful number, since it uses less digits than its factorization.

21002123112311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16224 (or 16213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 21002123112311 its reverse (11321132120012), we get a palindrome (32323255232323).

It can be divided in two parts, 210021 and 23112311, that added together give a palindrome (23322332).

The spelling of 21002123112311 in words is "twenty-one trillion, two billion, one hundred twenty-three million, one hundred twelve thousand, three hundred eleven".

Divisors: 1 11 73 121 137 803 1171 1507 8833 10001 12881 14821 16577 85483 110011 141691 160427 163031 940313 1081933 1210121 1764697 1793341 2030477 10343443 11711171 11901263 17355391 19411667 22335247 128822881 130913893 148224821 190909301 245687717 1266943543 1417051691 1630473031 2100002311 2377688567 13936378973 17935203341 26154574237 153300168703 173571265391 287700316607 1909283919301 21002123112311