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1031331012114 = 2313591791251983
BaseRepresentation
bin11110000001000000001…
…11100101111000010010
310122121001020020202020010
433000200013211320102
5113344131214341424
62105441550455350
7134340225650454
oct17004007457022
93577036222203
101031331012114
11368426519037
12147a66804556
137633c336470
1437cb95662d4
151bc62159229
hexf0201e5e12

1031331012114 has 64 divisors (see below), whose sum is σ = 2271599769600. Its totient is φ = 310211092032.

The previous prime is 1031331012109. The next prime is 1031331012157. The reversal of 1031331012114 is 4112101331301.

It is a super-2 number, since 2×10313310121142 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197767 + ... + 1449749.

It is an arithmetic number, because the mean of its divisors is an integer number (35493746400).

Almost surely, 21031331012114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031331012114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135799884800).

1031331012114 is an abundant number, since it is smaller than the sum of its proper divisors (1240268757486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1031331012114 is a wasteful number, since it uses less digits than its factorization.

1031331012114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252239.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1031331012114 its reverse (4112101331301), we get a palindrome (5143432343415).

The spelling of 1031331012114 in words is "one trillion, thirty-one billion, three hundred thirty-one million, twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 59 78 118 177 179 354 358 537 767 1074 1534 2301 2327 4602 4654 6981 10561 13962 21122 31683 63366 137293 274586 411879 823758 1251983 2503966 3755949 7511898 16275779 32551558 48827337 73866997 97654674 147733994 221600991 224104957 443201982 448209914 672314871 960270961 1344629742 1920541922 2880812883 2913364441 5761625766 5826728882 8740093323 13222192463 17480186646 26444384926 39666577389 79333154778 171888502019 343777004038 515665506057 1031331012114