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12003132102130 = 2513299901321569
BaseRepresentation
bin1010111010101011001001…
…1011001101010111110010
31120111111011220200101012001
42232222302123031113302
53033124403304232010
641310055053524214
72346124542312421
oct256526233152762
946444156611161
1012003132102130
113908555172564
12141a3547a366a
13690b76577660
142d6d519712b8
1515c367daac3a
hexaeab26cd5f2

12003132102130 has 64 divisors (see below), whose sum is σ = 24072447218400. Its totient is φ = 4278655180800.

The previous prime is 12003132102107. The next prime is 12003132102163. The reversal of 12003132102130 is 3120123130021.

It can be written as a sum of positive squares in 16 ways, for example, as 2613301798041 + 9389830304089 = 1616571^2 + 3064283^2 .

It is a super-2 number, since 2×120031321021302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12003132102098 and 12003132102107.

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, 37165986 + ... + 37487554.

Almost surely, 212003132102130 is an apocalyptic number.

12003132102130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12003132102130 is an abundant number, since it is smaller than the sum of its proper divisors (12069315116270).

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

12003132102130 is a wasteful number, since it uses less digits than its factorization.

12003132102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331519.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12003132102130 its reverse (3120123130021), we get a palindrome (15123255232151).

The spelling of 12003132102130 in words is "twelve trillion, three billion, one hundred thirty-two million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 1885 3770 9901 19802 49505 99010 128713 257426 287129 321569 574258 643138 643565 1287130 1435645 1607845 2871290 3215690 3732677 4180397 7465354 8360794 9325501 18651002 18663385 20901985 37326770 41803970 46627505 93255010 121231513 242463026 606157565 1212315130 3183854669 6367709338 15919273345 31838546690 41390110697 82780221394 92331785401 184663570802 206950553485 413901106970 461658927005 923317854010 1200313210213 2400626420426 6001566051065 12003132102130