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315141111220 = 225131212081197
BaseRepresentation
bin1001001010111111101…
…11111011110110110100
31010010102201121011122011
410211133313323312310
520130402111024340
6400435051414004
731524330150625
oct4453767736664
91103381534564
10315141111220
11111717a3a261
12510b0154304
1323943983a10
1411377db9a4c
1582e6a990ea
hex495fdfbdb4

315141111220 has 24 divisors (see below), whose sum is σ = 712703744424. Its totient is φ = 116359794816.

The previous prime is 315141111199. The next prime is 315141111227. The reversal of 315141111220 is 22111141513.

It can be written as a sum of positive squares in 4 ways, for example, as 11905864996 + 303235246224 = 109114^2 + 550668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 315141111191 and 315141111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315141111227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606040339 + ... + 606040858.

It is an arithmetic number, because the mean of its divisors is an integer number (29695989351).

Almost surely, 2315141111220 is an apocalyptic number.

It is an amenable number.

315141111220 is an abundant number, since it is smaller than the sum of its proper divisors (397562633204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315141111220 is a wasteful number, since it uses less digits than its factorization.

315141111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212081219 (or 1212081217 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 315141111220 its reverse (22111141513), we get a palindrome (337252252733).

The spelling of 315141111220 in words is "three hundred fifteen billion, one hundred forty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1212081197 2424162394 4848324788 6060405985 12120811970 15757055561 24241623940 31514111122 63028222244 78785277805 157570555610 315141111220