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12673213300 = 22521121047373
BaseRepresentation
bin10111100110110000…
…11110001101110100
31012201012212221101101
423303120132031310
5201423320311200
65453314535444
7626024351506
oct136330361564
935635787341
1012673213300
115413775800
122558297584
13126c7856a7
148831c1d76
154e290126a
hex2f361e374

12673213300 has 54 divisors (see below), whose sum is σ = 30228261014. Its totient is φ = 4608436800.

The previous prime is 12673213291. The next prime is 12673213307. The reversal of 12673213300 is 331237621.

It can be written as a sum of positive squares in 3 ways, for example, as 15163236 + 12658050064 = 3894^2 + 112508^2 .

It is a super-2 number, since 2×126732133002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12673213307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 511587 + ... + 535786.

Almost surely, 212673213300 is an apocalyptic number.

12673213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12673213300 is an abundant number, since it is smaller than the sum of its proper divisors (17555047714).

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

12673213300 is a wasteful number, since it uses less digits than its factorization.

12673213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047409 (or 1047391 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 12673213300 in words is "twelve billion, six hundred seventy-three million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 1047373 2094746 4189492 5236865 10473730 11521103 20947460 23042206 26184325 46084412 52368650 57605515 104737300 115211030 126732133 230422060 253464266 288027575 506928532 576055150 633660665 1152110300 1267321330 2534642660 3168303325 6336606650 12673213300