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315142222131 = 33111061084923
BaseRepresentation
bin1001001010111111111…
…00001011000100110011
31010010102210200121112000
410211133330023010303
520130402402102011
6400435131305043
731524342455502
oct4453774130463
91103383617460
10315142222131
11111718628970
12510b05ab183
1323943c82569
14113781c8839
1582e6c18356
hex495ff0b133

315142222131 has 16 divisors (see below), whose sum is σ = 509320763520. Its totient is φ = 190995285960.

The previous prime is 315142222127. The next prime is 315142222177. The reversal of 315142222131 is 131222241513.

It is a happy number.

315142222131 is a `hidden beast` number, since 3 + 15 + 1 + 422 + 221 + 3 + 1 = 666.

It is not a de Polignac number, because 315142222131 - 22 = 315142222127 is a prime.

It is a super-2 number, since 2×3151422221312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 315142222095 and 315142222104.

It is not an unprimeable number, because it can be changed into a prime (315142222831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530542165 + ... + 530542758.

It is an arithmetic number, because the mean of its divisors is an integer number (31832547720).

Almost surely, 2315142222131 is an apocalyptic number.

315142222131 is a deficient number, since it is larger than the sum of its proper divisors (194178541389).

315142222131 is a wasteful number, since it uses less digits than its factorization.

315142222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061084943 (or 1061084937 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 315142222131 its reverse (131222241513), we get a palindrome (446364463644).

The spelling of 315142222131 in words is "three hundred fifteen billion, one hundred forty-two million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 1061084923 3183254769 9549764307 11671934153 28649292921 35015802459 105047407377 315142222131