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101361043225 = 5213317983849
BaseRepresentation
bin101111001100110010…
…1101100011100011001
3100200122000200111120001
41132121211230130121
53130041411340400
6114321542533001
710215551436361
oct1363145543431
9320560614501
10101361043225
1139a94737012
1217789737161
13973479b470
144c97b119a1
152983986a6a
hex179996c719

101361043225 has 24 divisors (see below), whose sum is σ = 135783106200. Its totient is φ = 74615032320.

The previous prime is 101361043213. The next prime is 101361043229. The reversal of 101361043225 is 522340163101.

It can be written as a sum of positive squares in 12 ways, for example, as 60616409616 + 40744633609 = 246204^2 + 201853^2 .

It is not a de Polignac number, because 101361043225 - 27 = 101361043097 is a prime.

It is a super-2 number, since 2×1013610432252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101361043193 and 101361043202.

It is not an unprimeable number, because it can be changed into a prime (101361043229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388900 + ... + 594949.

It is an arithmetic number, because the mean of its divisors is an integer number (5657629425).

Almost surely, 2101361043225 is an apocalyptic number.

It is an amenable number.

101361043225 is a deficient number, since it is larger than the sum of its proper divisors (34422062975).

101361043225 is a wasteful number, since it uses less digits than its factorization.

101361043225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984189 (or 984184 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 101361043225 in words is "one hundred one billion, three hundred sixty-one million, forty-three thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 317 325 1585 4121 7925 20605 103025 983849 4919245 12790037 24596225 63950185 311880133 319750925 1559400665 4054441729 7797003325 20272208645 101361043225