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12131210003100 = 22352152172657381
BaseRepresentation
bin1011000010001000010001…
…1101101000001010011100
31120221201202212211212121220
42300202010131220022130
53042224204230044400
641445000111453340
72361310456436466
oct260420435501234
946851685755556
1012131210003100
1139578a98721a1
12143b139827250
1369cc7817b986
142dd221a5d136
151608620e87a0
hexb088476829c

12131210003100 has 72 divisors (see below), whose sum is σ = 35101954091568. Its totient is φ = 3234775526400.

The previous prime is 12131210003093. The next prime is 12131210003141. The reversal of 12131210003100 is 130001213121.

It is a happy number.

It is a super-2 number, since 2×121312100031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12131210003100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3236410 + ... + 5893790.

Almost surely, 212131210003100 is an apocalyptic number.

12131210003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131210003100 is an abundant number, since it is smaller than the sum of its proper divisors (22970744088468).

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

12131210003100 is a wasteful number, since it uses less digits than its factorization.

12131210003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672615 (or 2672608 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12131210003100 its reverse (130001213121), we get a palindrome (12261211216221).

The spelling of 12131210003100 in words is "twelve trillion, one hundred thirty-one billion, two hundred ten million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 15217 30434 45651 60868 76085 91302 152170 182604 228255 304340 380425 456510 760850 913020 1141275 1521700 2282550 2657381 4565100 5314762 7972143 10629524 13286905 15944286 26573810 31888572 39860715 53147620 66434525 79721430 132869050 159442860 199303575 265738100 398607150 797214300 40437366677 80874733354 121312100031 161749466708 202186833385 242624200062 404373666770 485248400124 606560500155 808747333540 1010934166925 1213121000310 2021868333850 2426242000620 3032802500775 4043736667700 6065605001550 12131210003100