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21032400301 = 1123149563991
BaseRepresentation
bin10011100101101000…
…001111010110101101
32000021210011122012221
4103211220033112231
5321033243302201
613355005155341
71343126311213
oct234550172655
960253148187
1021032400301
118a13272710
1240ab85bb51
131ca254a4a3
141037468cb3
158316ec4a1
hex4e5a0f5ad

21032400301 has 32 divisors (see below), whose sum is σ = 24169881600. Its totient is φ = 18115732800.

The previous prime is 21032400253. The next prime is 21032400317. The reversal of 21032400301 is 10300423012.

It is a happy number.

It is not a de Polignac number, because 21032400301 - 215 = 21032367533 is a prime.

It is a super-3 number, since 3×210324003013 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21032400371) 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 31 ways as a sum of consecutive naturals, for example, 21222916 + ... + 21223906.

It is an arithmetic number, because the mean of its divisors is an integer number (755308800).

Almost surely, 221032400301 is an apocalyptic number.

It is an amenable number.

21032400301 is a deficient number, since it is larger than the sum of its proper divisors (3137481299).

21032400301 is a wasteful number, since it uses less digits than its factorization.

21032400301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21032400301 its reverse (10300423012), we get a palindrome (31332823313).

The spelling of 21032400301 in words is "twenty-one billion, thirty-two million, four hundred thousand, three hundred one".

Divisors: 1 11 23 149 253 563 991 1639 3427 6193 10901 12949 22793 37697 83887 142439 147659 250723 557933 922757 1624249 1929401 3396157 6137263 12832459 21223411 37357727 83132017 141157049 914452187 1912036391 21032400301