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312420521 = 74130121
BaseRepresentation
bin10010100111110…
…010100010101001
3210202212121101102
4102213302202221
51114434424041
651000131145
710512350000
oct2247624251
9722777342
10312420521
11150398186
1288766ab5
134c95931a
142d6c7c37
151c66409b
hex129f28a9

312420521 has 10 divisors (see below), whose sum is σ = 364471722. Its totient is φ = 267786960.

The previous prime is 312420503. The next prime is 312420529. The reversal of 312420521 is 125024213.

It can be written as a sum of positive squares in only one way, i.e., 302586025 + 9834496 = 17395^2 + 3136^2 .

It is not a de Polignac number, because 312420521 - 26 = 312420457 is a prime.

It is a super-2 number, since 2×3124205212 = 195213163883822882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312420493 and 312420502.

It is not an unprimeable number, because it can be changed into a prime (312420529) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62660 + ... + 67461.

Almost surely, 2312420521 is an apocalyptic number.

It is an amenable number.

312420521 is a deficient number, since it is larger than the sum of its proper divisors (52051201).

312420521 is an frugal number, since it uses more digits than its factorization.

312420521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130149 (or 130128 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 312420521 is about 17675.4213811156. The cubic root of 312420521 is about 678.5468688180.

Adding to 312420521 its reverse (125024213), we get a palindrome (437444734).

The spelling of 312420521 in words is "three hundred twelve million, four hundred twenty thousand, five hundred twenty-one".

Divisors: 1 7 49 343 2401 130121 910847 6375929 44631503 312420521