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21325102003921 = 71219323372
BaseRepresentation
bin1001101100101001000110…
…01000010011011011010001
32210111122211000122212202211
410312110203020103123101
510243342302103111141
6113204341104512121
74330454623144222
oct466244310233321
983448730585684
1021325102003921
116881a1a156311
122484b4561b641
13bb8c43aaa321
1453a1d7543249
1526eaac8cbd81
hex1365232136d1

21325102003921 has 27 divisors (see below), whose sum is σ = 21807046242513. Its totient is φ = 20853747210240.

The previous prime is 21325102003903. The next prime is 21325102003999. The reversal of 21325102003921 is 12930020152312.

The square root of 21325102003921 is 4617911.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5084524402321 + 16240577601600 = 2254889^2 + 4029960^2 .

It is not a de Polignac number, because 21325102003921 - 217 = 21325101872849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21325102003421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63279234265 + ... + 63279234601.

Almost surely, 221325102003921 is an apocalyptic number.

21325102003921 is the 4617911-st square number.

21325102003921 is the 2308956-th centered octagonal number.

It is an amenable number.

21325102003921 is a deficient number, since it is larger than the sum of its proper divisors (481944238592).

21325102003921 is an frugal number, since it uses more digits than its factorization.

21325102003921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 21325102003921 in words is "twenty-one trillion, three hundred twenty-five billion, one hundred two million, three thousand, nine hundred twenty-one".

Divisors: 1 71 193 337 5041 13703 23927 37249 65041 113569 972913 1698817 2644679 4617911 8063399 12552913 21918817 187772209 327871681 572501329 891256823 1556236007 4230331681 63279234433 110492756497 300353549351 21325102003921