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21003236145225 = 3252239339008657
BaseRepresentation
bin1001100011010001100100…
…11011011111100001001001
32202100220000122021010211100
410301220302123133201021
510223104111423121400
6112400430430252013
74265301525402435
oct461506233374111
982326018233740
1021003236145225
116768471283814
122432699357009
13b9479ab651b9
145287c23bb9c5
1526652078a100
hex131a326df849

21003236145225 has 36 divisors (see below), whose sum is σ = 37634851082556. Its totient is φ = 11197044618240.

The previous prime is 21003236145217. The next prime is 21003236145233. The reversal of 21003236145225 is 52254163230012.

21003236145225 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 32 + 3 + 614 + 5 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (21003236145217) and next prime (21003236145233).

It can be written as a sum of positive squares in 6 ways, for example, as 658517643081 + 20344718502144 = 811491^2 + 4510512^2 .

It is not a de Polignac number, because 21003236145225 - 23 = 21003236145217 is a prime.

It is a super-2 number, since 2×210032361452252 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21003236145225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18965904 + ... + 20042753.

It is an arithmetic number, because the mean of its divisors is an integer number (1045412530071).

Almost surely, 221003236145225 is an apocalyptic number.

21003236145225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21003236145225 is a deficient number, since it is larger than the sum of its proper divisors (16631614937331).

21003236145225 is a wasteful number, since it uses less digits than its factorization.

21003236145225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39011066 (or 39011058 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 21003236145225 its reverse (52254163230012), we get a palindrome (73257399375237).

The spelling of 21003236145225 in words is "twenty-one trillion, three billion, two hundred thirty-six million, one hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2393 7179 11965 21537 35895 59825 107685 179475 538425 39008657 117025971 195043285 351077913 585129855 975216425 1755389565 2925649275 8776947825 93347716201 280043148603 466738581005 840129445809 1400215743015 2333692905025 4200647229045 7001078715075 21003236145225