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133212221000 = 2353177836013
BaseRepresentation
bin111110000010000010…
…0010010111001001000
3110201211210021222102222
41330010010102321020
54140304312033000
6141110304113212
712424060124105
oct1740404227110
9421753258388
10133212221000
115154990a331
1221998605808
13c73c531b11
146639d55aac
1536e9d77a85
hex1f04112e48

133212221000 has 64 divisors (see below), whose sum is σ = 330052909680. Its totient is φ = 50150476800.

The previous prime is 133212220991. The next prime is 133212221011. The reversal of 133212221000 is 122212331.

It can be written as a sum of positive squares in 8 ways, for example, as 45798568036 + 87413652964 = 214006^2 + 295658^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 133212221000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3901007 + ... + 3935006.

Almost surely, 2133212221000 is an apocalyptic number.

133212221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133212221000 is an abundant number, since it is smaller than the sum of its proper divisors (196840688680).

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

133212221000 is a wasteful number, since it uses less digits than its factorization.

133212221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836051 (or 7836037 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 133212221000 its reverse (122212331), we get a palindrome (133334433331).

The spelling of 133212221000 in words is "one hundred thirty-three billion, two hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 7836013 15672026 31344052 39180065 62688104 78360130 133212221 156720260 195900325 266424442 313440520 391800650 532848884 666061105 783601300 979501625 1065697768 1332122210 1567202600 1959003250 2664244420 3330305525 3918006500 5328488840 6660611050 7836013000 13321222100 16651527625 26642444200 33303055250 66606110500 133212221000