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1031031332130 = 2351731149437677
BaseRepresentation
bin11110000000011100100…
…00011001110100100010
310122120021100100102120110
433000032100121310202
5113343023010112010
62105352123352150
7134326626503052
oct17001620316442
93576240312513
101031031332130
11368292343028
121479a2382656
13762c221b227
1437c8b837562
151bc45bb0120
hexf00e419d22

1031031332130 has 128 divisors (see below), whose sum is σ = 2722707302400. Its totient is φ = 248740024320.

The previous prime is 1031031332081. The next prime is 1031031332203. The reversal of 1031031332130 is 312331301301.

It is a junction number, because it is equal to n+sod(n) for n = 1031031332097 and 1031031332106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2136852 + ... + 2574528.

It is an arithmetic number, because the mean of its divisors is an integer number (21271150800).

Almost surely, 21031031332130 is an apocalyptic number.

1031031332130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031031332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361353651200).

1031031332130 is an abundant number, since it is smaller than the sum of its proper divisors (1691675970270).

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

1031031332130 is a wasteful number, since it uses less digits than its factorization.

1031031332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437884.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1031031332130 its reverse (312331301301), we get a palindrome (1343362633431).

The spelling of 1031031332130 in words is "one trillion, thirty-one billion, thirty-one million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 149 155 170 186 255 298 310 447 465 510 527 745 894 930 1054 1490 1581 2235 2533 2635 3162 4470 4619 5066 5270 7599 7905 9238 12665 13857 15198 15810 23095 25330 27714 37995 46190 69285 75990 78523 138570 157046 235569 392615 437677 471138 785230 875354 1177845 1313031 2188385 2355690 2626062 4376770 6565155 7440509 13130310 13567987 14881018 22321527 27135974 37202545 40703961 44643054 65213873 67839935 74405090 81407922 111607635 130427746 135679870 195641619 203519805 223215270 230655779 326069365 391283238 407039610 461311558 652138730 691967337 978208095 1108635841 1153278895 1383934674 1956416190 2021630063 2217271682 2306557790 3325907523 3459836685 4043260126 5543179205 6064890189 6651815046 6919673370 10108150315 11086358410 12129780378 16629537615 20216300630 30324450945 33259075230 34367711071 60648901890 68735422142 103103133213 171838555355 206206266426 343677110710 515515666065 1031031332130