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1032131131020 = 2232511793765677
BaseRepresentation
bin11110000010011111100…
…11110011011010001100
310122200002222211000000200
433001033303303122030
5113402301032143040
62110053212053500
7134366112600603
oct17011763633214
93580088730020
101032131131020
113687a7130230
1214804a764290
137643902b4c2
1437d53922a3a
151bcac506630
hexf04fcf368c

1032131131020 has 144 divisors (see below), whose sum is σ = 3415898068128. Its totient is φ = 250178273280.

The previous prime is 1032131131019. The next prime is 1032131131039. The reversal of 1032131131020 is 201311312301.

1032131131020 is a `hidden beast` number, since 1 + 0 + 3 + 21 + 311 + 310 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1032131130984 and 1032131131002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15682422 + ... + 15748098.

It is an arithmetic number, because the mean of its divisors is an integer number (23721514362).

Almost surely, 21032131131020 is an apocalyptic number.

1032131131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032131131020 is an abundant number, since it is smaller than the sum of its proper divisors (2383766937108).

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

1032131131020 is a wasteful number, since it uses less digits than its factorization.

1032131131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73640 (or 73635 counting only the distinct ones).

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

Adding to 1032131131020 its reverse (201311312301), we get a palindrome (1233442443321).

The spelling of 1032131131020 in words is "one trillion, thirty-two billion, one hundred thirty-one million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 7937 15874 23811 31748 39685 47622 65677 71433 79370 87307 95244 119055 131354 142866 158740 174614 197031 238110 261921 262708 285732 328385 349228 357165 394062 436535 476220 523842 591093 656770 714330 722447 785763 788124 873070 985155 1047684 1182186 1309605 1313540 1428660 1444894 1571526 1746140 1970310 2167341 2364372 2619210 2889788 2955465 3143052 3612235 3928815 3940620 4334682 5238420 5910930 6502023 7224470 7857630 8669364 10836705 11821860 13004046 14448940 15715260 21673410 26008092 32510115 43346820 65020230 130040460 521278349 1042556698 1563835047 2085113396 2606391745 3127670094 4691505141 5212783490 5734061839 6255340188 7819175235 9383010282 10425566980 11468123678 15638350470 17202185517 18766020564 22936247356 23457525705 28670309195 31276700940 34404371034 46915051410 51606556551 57340618390 68808742068 86010927585 93830102820 103213113102 114681236780 172021855170 206426226204 258032782755 344043710340 516065565510 1032131131020