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1031320431141 = 371113557751821
BaseRepresentation
bin11110000000111110111…
…11001110101000100101
310122121000111100011212020
433000133133032220211
5113344121012244031
62105440532013353
7134340040011240
oct17003737165045
93577014304766
101031320431141
11368420551430
12147a63161259
137633a0a0330
1437cb7db0257
151bc61269096
hexf01f7cea25

1031320431141 has 128 divisors (see below), whose sum is σ = 1854313316352. Its totient is φ = 492393600000.

The previous prime is 1031320431131. The next prime is 1031320431143. The reversal of 1031320431141 is 1411340231301.

It is a happy number.

It is not a de Polignac number, because 1031320431141 - 25 = 1031320431109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031320431143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1256175511 + ... + 1256176331.

It is an arithmetic number, because the mean of its divisors is an integer number (14486822784).

Almost surely, 21031320431141 is an apocalyptic number.

1031320431141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1031320431141 is a deficient number, since it is larger than the sum of its proper divisors (822992885211).

1031320431141 is a wasteful number, since it uses less digits than its factorization.

1031320431141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1031320431141 its reverse (1411340231301), we get a palindrome (2442660662442).

The spelling of 1031320431141 in words is "one trillion, thirty-one billion, three hundred twenty million, four hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 557 751 821 1001 1671 2253 2463 3003 3899 5257 5747 6127 7241 8261 9031 9763 10673 11697 15771 17241 18381 21723 24783 27093 29289 32019 42889 50687 57827 63217 68341 74711 79651 107393 117403 128667 152061 173481 189651 205023 224133 238953 322179 352209 418307 457297 557557 616571 751751 821821 1254921 1371891 1672671 1849713 2255253 2465463 2928149 3201079 4315997 4601377 5030267 5437991 5944861 6782281 8015423 8784447 9603237 12947991 13804131 15090801 16313973 17834583 20346843 24046269 32209639 35211869 38065937 41614027 47475967 56107961 59817901 65393471 88169653 96628917 105635607 114197811 124842081 142427901 168323883 179453703 196180413 264508959 343430047 418725307 457754297 617187571 1030290141 1256175921 1373262891 1851562713 2404010329 3777730517 4464590611 7212030987 11333191551 13393771833 26444113619 31252134277 49110496721 79332340857 93756402831 147331490163 343773477047 1031320431141