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13122422000 = 245335318587
BaseRepresentation
bin11000011100010100…
…00100010011110000
31020212112011002212122
430032022010103300
5203333320001000
610010043013412
7643120514042
oct141612042360
936775132778
1013122422000
1156242a0966
12266280a268
13131186615c
148c6b15a92
1551c085085
hex30e2844f0

13122422000 has 80 divisors (see below), whose sum is σ = 31821615072. Its totient is φ = 5233817600.

The previous prime is 13122421999. The next prime is 13122422011. The reversal of 13122422000 is 22422131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13122422000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696707 + ... + 715293.

Almost surely, 213122422000 is an apocalyptic number.

13122422000 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 13122422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910807536).

13122422000 is an abundant number, since it is smaller than the sum of its proper divisors (18699193072).

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

13122422000 is a wasteful number, since it uses less digits than its factorization.

13122422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18963 (or 18947 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 13122422000 its reverse (22422131), we get a palindrome (13144844131).

The spelling of 13122422000 in words is "thirteen billion, one hundred twenty-two million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 353 400 500 706 1000 1412 1765 2000 2824 3530 5648 7060 8825 14120 17650 18587 28240 35300 37174 44125 70600 74348 88250 92935 141200 148696 176500 185870 297392 353000 371740 464675 706000 743480 929350 1486960 1858700 2323375 3717400 4646750 6561211 7434800 9293500 13122422 18587000 26244844 32806055 37174000 52489688 65612110 104979376 131224220 164030275 262448440 328060550 524896880 656121100 820151375 1312242200 1640302750 2624484400 3280605500 6561211000 13122422000