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2553142131 = 3247139173251
BaseRepresentation
bin1001100000101101…
…1101101101110011
320120221012001120200
42120023131231303
520212101022011
61101202410243
7120161231031
oct23013355563
96527161520
102553142131
1110a0200521
125b3060983
13318c47ab7
141a3125551
15ee226856
hex982ddb73

2553142131 has 48 divisors (see below), whose sum is σ = 3830561280. Its totient is φ = 1637784000.

The previous prime is 2553142099. The next prime is 2553142147. The reversal of 2553142131 is 1312413552.

It is not a de Polignac number, because 2553142131 - 25 = 2553142099 is a prime.

It is a super-2 number, since 2×25531421312 = 13037069482174442322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2553142095 and 2553142104.

It is not an unprimeable number, because it can be changed into a prime (2553140131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10171756 + ... + 10172006.

It is an arithmetic number, because the mean of its divisors is an integer number (79803360).

Almost surely, 22553142131 is an apocalyptic number.

2553142131 is a deficient number, since it is larger than the sum of its proper divisors (1277419149).

2553142131 is a wasteful number, since it uses less digits than its factorization.

2553142131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 613 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2553142131 is about 50528.6268465708. The cubic root of 2553142131 is about 1366.7581242054.

Adding to 2553142131 its reverse (1312413552), we get a palindrome (3865555683).

The spelling of 2553142131 in words is "two billion, five hundred fifty-three million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 47 139 141 173 251 417 423 519 753 1251 1557 2259 6533 8131 11797 19599 24047 24393 34889 35391 43423 58797 72141 73179 104667 106173 130269 216423 314001 390807 1130209 1639783 2040881 3390627 4919349 6035797 6122643 10171881 14758047 18107391 18367929 54322173 283682459 851047377 2553142131