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1031322332131 = 713232953320591
BaseRepresentation
bin11110000000111111001…
…10011110101111100011
310122121000121220202112021
433000133212132233203
5113344122004112011
62105441040442311
7134340062116420
oct17003746365743
93577017822467
101031322332131
1136842162a6a3
12147a63919397
137633a5b7690
1437cb8346d47
151bc614e2471
hexf01f99ebe3

1031322332131 has 64 divisors (see below), whose sum is σ = 1396037099520. Its totient is φ = 739377999360.

The previous prime is 1031322331987. The next prime is 1031322332147. The reversal of 1031322332131 is 1312332231301.

It is not a de Polignac number, because 1031322332131 - 219 = 1031321807843 is a prime.

It is a super-2 number, since 2×10313223321312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031322332096 and 1031322332105.

It is not an unprimeable number, because it can be changed into a prime (1031322332531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3056646 + ... + 3377236.

It is an arithmetic number, because the mean of its divisors is an integer number (21813079680).

Almost surely, 21031322332131 is an apocalyptic number.

1031322332131 is a deficient number, since it is larger than the sum of its proper divisors (364714767389).

1031322332131 is a wasteful number, since it uses less digits than its factorization.

1031322332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320716.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1031322332131 its reverse (1312332231301), we get a palindrome (2343654563432).

The spelling of 1031322332131 in words is "one trillion, thirty-one billion, three hundred twenty-two million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 13 23 29 53 91 161 203 299 371 377 667 689 1219 1537 2093 2639 4669 4823 8533 8671 10759 15847 19981 35351 60697 110929 139867 247457 320591 459563 2244137 3216941 4167683 7373593 9297139 16991323 29173781 51615151 65079973 95856709 118939261 120862807 213834197 220887199 390800429 492748367 670996963 846039649 1496839379 1546210393 2735603003 2779844561 3449238569 5080405577 6405728771 11333212441 19458911927 35562839039 44840101397 79332487087 147331761733 1031322332131