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315142101 = 32291207441
BaseRepresentation
bin10010110010001…
…010111111010101
3210221222212200200
4102302022333111
51121134021401
651134331113
710544443431
oct2262127725
9727885620
10315142101
11151986a1a
1289659a99
13503a0021
142dbd59c1
151ca00686
hex12c8afd5

315142101 has 12 divisors (see below), whose sum is σ = 470902380. Its totient is φ = 202849920.

The previous prime is 315142049. The next prime is 315142109. The reversal of 315142101 is 101241513.

It can be written as a sum of positive squares in 2 ways, for example, as 168974001 + 146168100 = 12999^2 + 12090^2 .

It is not a de Polignac number, because 315142101 - 27 = 315141973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315142109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603460 + ... + 603981.

It is an arithmetic number, because the mean of its divisors is an integer number (39241865).

Almost surely, 2315142101 is an apocalyptic number.

It is an amenable number.

315142101 is a deficient number, since it is larger than the sum of its proper divisors (155760279).

315142101 is a wasteful number, since it uses less digits than its factorization.

315142101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207476 (or 1207473 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 315142101 is about 17752.2421400791. The cubic root of 315142101 is about 680.5115103192.

Adding to 315142101 its reverse (101241513), we get a palindrome (416383614).

The spelling of 315142101 in words is "three hundred fifteen million, one hundred forty-two thousand, one hundred one".

Divisors: 1 3 9 29 87 261 1207441 3622323 10866969 35015789 105047367 315142101