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147261322131 = 3711637494901
BaseRepresentation
bin1000100100100101110…
…1010111001110010011
3112002002220011021002220
42021021131113032103
54403042344302011
6151352333112123
713432162404450
oct2111135271623
9462086137086
10147261322131
11574a91a4a10
1224659628643
1310b6b072c01
1471adb70827
153c6d459506
hex2249757393

147261322131 has 16 divisors (see below), whose sum is σ = 244798042368. Its totient is φ = 76499388000.

The previous prime is 147261322123. The next prime is 147261322139. The reversal of 147261322131 is 131223162741.

147261322131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147261322123) and next prime (147261322139).

It is not a de Polignac number, because 147261322131 - 23 = 147261322123 is a prime.

It is a super-2 number, since 2×1472613221312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 147261322092 and 147261322101.

It is not an unprimeable number, because it can be changed into a prime (147261322139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318747220 + ... + 318747681.

It is an arithmetic number, because the mean of its divisors is an integer number (15299877648).

Almost surely, 2147261322131 is an apocalyptic number.

147261322131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

147261322131 is a deficient number, since it is larger than the sum of its proper divisors (97536720237).

147261322131 is a wasteful number, since it uses less digits than its factorization.

147261322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637494922.

The product of its digits is 12096, while the sum is 33.

Adding to 147261322131 its reverse (131223162741), we get a palindrome (278484484872).

The spelling of 147261322131 in words is "one hundred forty-seven billion, two hundred sixty-one million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 637494901 1912484703 4462464307 7012443911 13387392921 21037331733 49087107377 147261322131