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13211230011100 = 22521124912223701
BaseRepresentation
bin1100000000111111101010…
…1010111111111011011100
31201202222111100000212220221
43000033322222333323130
53212423044340323400
644033053312451124
72532323411151502
oct300177252777334
951688440025827
1013211230011100
11423393aa1a500
121594512249aa4
1374aa76766274
143395d976c672
1517d9c3981c1a
hexc03faabfedc

13211230011100 has 108 divisors (see below), whose sum is σ = 31575705603624. Its totient is φ = 4794297200000.

The previous prime is 13211230011079. The next prime is 13211230011167. The reversal of 13211230011100 is 111003211231.

It is a happy number.

It is a super-2 number, since 2×132112300111002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4829250 + ... + 7052950.

It is an arithmetic number, because the mean of its divisors is an integer number (292367644478).

Almost surely, 213211230011100 is an apocalyptic number.

13211230011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211230011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15787852801812).

13211230011100 is an abundant number, since it is smaller than the sum of its proper divisors (18364475592524).

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

13211230011100 is a wasteful number, since it uses less digits than its factorization.

13211230011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224228 (or 2224210 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13211230011100 its reverse (111003211231), we get a palindrome (13322233222331).

The spelling of 13211230011100 in words is "thirteen trillion, two hundred eleven billion, two hundred thirty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 491 550 605 982 1100 1210 1964 2420 2455 3025 4910 5401 6050 9820 10802 12100 12275 21604 24550 27005 49100 54010 59411 108020 118822 135025 237644 270050 297055 540100 594110 1188220 1485275 2223701 2970550 4447402 5941100 8894804 11118505 22237010 24460711 44474020 48921422 55592525 97842844 111185050 122303555 222370100 244607110 269067821 489214220 538135642 611517775 1076271284 1091837191 1223035550 1345339105 2183674382 2446071100 2690678210 4367348764 5381356420 5459185955 6726695525 10918371910 12010209101 13453391050 21836743820 24020418202 26906782100 27295929775 48040836404 54591859550 60051045505 109183719100 120102091010 132112300111 240204182020 264224600222 300255227525 528449200444 600510455050 660561500555 1201020910100 1321123001110 2642246002220 3302807502775 6605615005550 13211230011100