Search a number
-
+
11321213100000 = 2535537737377
BaseRepresentation
bin1010010010111110110011…
…1000101001111111100000
31111002022000210202211122220
42210233230320221333200
52440441321023200000
640024520555031040
72245634133401406
oct244575470517740
944068023684586
1011321213100000
113675332719211
12132a16343b480
1364178005a62b
142b1d41b3d476
1514975635b1a0
hexa4bece29fe0

11321213100000 has 144 divisors (see below), whose sum is σ = 37145354013936. Its totient is φ = 3018990080000.

The previous prime is 11321213099929. The next prime is 11321213100013. The reversal of 11321213100000 is 131212311.

It is a happy number.

It is a super-2 number, since 2×113212131000002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18568689 + ... + 19168688.

It is an arithmetic number, because the mean of its divisors is an integer number (257953847319).

Almost surely, 211321213100000 is an apocalyptic number.

11321213100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11321213100000 is an abundant number, since it is smaller than the sum of its proper divisors (25824140913936).

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

11321213100000 is an frugal number, since it uses more digits than its factorization.

11321213100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37737415 (or 37737387 counting only the distinct ones).

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

Adding to 11321213100000 its reverse (131212311), we get a palindrome (11321344312311).

The spelling of 11321213100000 in words is "eleven trillion, three hundred twenty-one billion, two hundred thirteen million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 37737377 75474754 113212131 150949508 188686885 226424262 301899016 377373770 452848524 566060655 603798032 754747540 905697048 943434425 1132121310 1207596064 1509495080 1811394096 1886868850 2264242620 2830303275 3018990160 3622788192 3773737700 4528485240 4717172125 5660606550 6037980320 7547475400 9056970480 9434344250 11321213100 14151516375 15094950800 18113940960 18868688500 22642426200 23585860625 28303032750 30189901600 37737377000 45284852400 47171721250 56606065500 70757581875 75474754000 90569704800 94343442500 113212131000 117929303125 141515163750 150949508000 188686885000 226424262000 235858606250 283030327500 353787909375 377373770000 452848524000 471717212500 566060655000 707575818750 754747540000 943434425000 1132121310000 1415151637500 1886868850000 2264242620000 2830303275000 3773737700000 5660606550000 11321213100000