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1030311120132 = 223474310564693
BaseRepresentation
bin11101111111000110101…
…01000000110100000100
310122111102011010212110000
432333203111000310010
5113340034121321012
62105152435001300
7134303033010450
oct16774325006404
93574364125400
101030311120132
11367a528490a8
12147821139230
1376208c53098
1437c1dd1b660
151bc02848ddc
hexefe3540d04

1030311120132 has 120 divisors (see below), whose sum is σ = 3149800127936. Its totient is φ = 287528657472.

The previous prime is 1030311120131. The next prime is 1030311120193. The reversal of 1030311120132 is 2310211130301.

1030311120132 is a `hidden beast` number, since 103 + 0 + 311 + 120 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1030311120131) 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 39 ways as a sum of consecutive naturals, for example, 5184823 + ... + 5379870.

Almost surely, 21030311120132 is an apocalyptic number.

1030311120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1030311120132 is an abundant number, since it is smaller than the sum of its proper divisors (2119489007804).

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

1030311120132 is a wasteful number, since it uses less digits than its factorization.

1030311120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10564759 (or 10564748 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1030311120132 its reverse (2310211130301), we get a palindrome (3340522250433).

The spelling of 1030311120132 in words is "one trillion, thirty billion, three hundred eleven million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 81 84 86 108 126 129 162 172 189 252 258 301 324 378 387 516 567 602 756 774 903 1134 1161 1204 1548 1806 2268 2322 2709 3483 3612 4644 5418 6966 8127 10836 13932 16254 24381 32508 48762 97524 10564693 21129386 31694079 42258772 63388158 73952851 95082237 126776316 147905702 190164474 221858553 285246711 295811404 380328948 443717106 454281799 570493422 665575659 855740133 887434212 908563598 1140986844 1331151318 1362845397 1711480266 1817127196 1996726977 2662302636 2725690794 3179972593 3422960532 3993453954 4088536191 5451381588 5990180931 6359945186 7986907908 8177072382 9539917779 11980361862 12265608573 12719890372 16354144764 19079835558 23960723724 24531217146 28619753337 36796825719 38159671116 49062434292 57239506674 73593651438 85859260011 114479013348 147187302876 171718520022 257577780033 343437040044 515155560066 1030311120132