Search a number
-
+
13123211222000 = 245311596509601
BaseRepresentation
bin1011111011110111110001…
…0101111101101111110000
31201110120022011011010020002
42332331330111331233300
53210002314033101000
643524415304405132
72523056256613145
oct276757425755760
951416264133202
1013123211222000
1141aa5826824a0
12157b448a767a8
1374268a240139
14335249a383cc
1517b5715058d5
hexbef7c57dbf0

13123211222000 has 80 divisors (see below), whose sum is σ = 34616645223264. Its totient is φ = 4772076800000.

The previous prime is 13123211221969. The next prime is 13123211222053. The reversal of 13123211222000 is 22211232131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 298232801 + ... + 298276800.

Almost surely, 213123211222000 is an apocalyptic number.

13123211222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123211222000 is an abundant number, since it is smaller than the sum of its proper divisors (21493434001264).

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

13123211222000 is a wasteful number, since it uses less digits than its factorization.

13123211222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596509635 (or 596509619 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13123211222000 its reverse (22211232131), we get a palindrome (13145422454131).

The spelling of 13123211222000 in words is "thirteen trillion, one hundred twenty-three billion, two hundred eleven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 596509601 1193019202 2386038404 2982548005 4772076808 5965096010 6561605611 9544153616 11930192020 13123211222 14912740025 23860384040 26246422444 29825480050 32808028055 47720768080 52492844888 59650960100 65616056110 74563700125 104985689776 119301920200 131232112220 149127400250 164040140275 238603840400 262464224440 298254800500 328080280550 524928448880 596509601000 656160561100 820200701375 1193019202000 1312321122200 1640401402750 2624642244400 3280802805500 6561605611000 13123211222000