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103212201325 = 5229532779697
BaseRepresentation
bin110000000011111101…
…1010011010101101101
3100212102000222002002011
41200013323103111231
53142334310420300
6115225351401221
710312460143642
oct1400773232555
9325360862064
10103212201325
113a854662542
1218005683211
13996b160a9c
144dd1903dc9
152a41247eba
hex1807ed356d

103212201325 has 48 divisors (see below), whose sum is σ = 135395329680. Its totient is φ = 77927915520.

The previous prime is 103212201317. The next prime is 103212201329. The reversal of 103212201325 is 523102212301.

It can be written as a sum of positive squares in 24 ways, for example, as 89065239844 + 14146961481 = 298438^2 + 118941^2 .

It is not a de Polignac number, because 103212201325 - 23 = 103212201317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103212201296 and 103212201305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212201329) 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, 10638877 + ... + 10648573.

It is an arithmetic number, because the mean of its divisors is an integer number (2820736035).

Almost surely, 2103212201325 is an apocalyptic number.

It is an amenable number.

103212201325 is a deficient number, since it is larger than the sum of its proper divisors (32183128355).

103212201325 is a wasteful number, since it uses less digits than its factorization.

103212201325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10066 (or 10061 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 103212201325 its reverse (523102212301), we get a palindrome (626314413626).

The spelling of 103212201325 in words is "one hundred three billion, two hundred twelve million, two hundred one thousand, three hundred twenty-five".

Divisors: 1 5 25 29 53 145 265 277 725 1325 1385 1537 6925 7685 8033 9697 14681 38425 40165 48485 73405 200825 242425 281213 367025 425749 513941 1406065 2128745 2569705 2686069 7030325 10643725 12848525 13430345 14904289 67151725 74521445 77896001 142361657 372607225 389480005 711808285 1947400025 3559041425 4128488053 20642440265 103212201325