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213507138225 = 3521729850387
BaseRepresentation
bin1100011011011000000…
…1000110001010110001
3202102002200100101211010
43012312001012022301
511444230311410400
6242030034541133
721265622505513
oct3066601061261
9672080311733
10213507138225
1182603239057
12354671377a9
13171977a5064
14a495d3dbb3
15584919e450
hex31b60462b1

213507138225 has 36 divisors (see below), whose sum is σ = 374984570384. Its totient is φ = 107172199680.

The previous prime is 213507138193. The next prime is 213507138227. The reversal of 213507138225 is 522831705312.

It is not a de Polignac number, because 213507138225 - 25 = 213507138193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213507138227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4903519 + ... + 4946868.

Almost surely, 2213507138225 is an apocalyptic number.

213507138225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213507138225 is a deficient number, since it is larger than the sum of its proper divisors (161477432159).

213507138225 is a wasteful number, since it uses less digits than its factorization.

213507138225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9850434 (or 9850412 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 213507138225 in words is "two hundred thirteen billion, five hundred seven million, one hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 289 425 867 1275 1445 4335 7225 21675 9850387 29551161 49251935 147755805 167456579 246259675 502369737 738779025 837282895 2511848685 2846761843 4186414475 8540285529 12559243425 14233809215 42701427645 71169046075 213507138225