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19121221002 = 23131718737699
BaseRepresentation
bin10001110011101101…
…101010110110001010
31211100120221200002110
4101303231222312022
5303130013033002
612441214043150
71244561461002
oct216355526612
954316850073
1019121221002
118122481394
1238577a94b6
131a59601370
14cd56d1002
1576da31e6c
hex473b6ad8a

19121221002 has 64 divisors (see below), whose sum is σ = 43635715200. Its totient is φ = 5533691904.

The previous prime is 19121221001. The next prime is 19121221013. The reversal of 19121221002 is 20012212191.

It is a self number, because there is not a number n which added to its sum of digits gives 19121221002.

It is not an unprimeable number, because it can be changed into a prime (19121221001) 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 31 ways as a sum of consecutive naturals, for example, 2479749 + ... + 2487447.

It is an arithmetic number, because the mean of its divisors is an integer number (681808050).

Almost surely, 219121221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19121221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21817857600).

19121221002 is an abundant number, since it is smaller than the sum of its proper divisors (24514494198).

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

19121221002 is a wasteful number, since it uses less digits than its factorization.

19121221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 19121221002 its reverse (20012212191), we get a palindrome (39133433193).

The spelling of 19121221002 in words is "nineteen billion, one hundred twenty-one million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 1873 3746 5619 7699 11238 15398 23097 24349 31841 46194 48698 63682 73047 95523 100087 130883 146094 191046 200174 261766 300261 392649 413933 600522 785298 827866 1241799 1701479 2483598 3402958 5104437 10208874 14420227 28840454 43260681 86521362 187462951 245143859 374925902 490287718 562388853 735431577 1124777706 1470863154 3186870167 6373740334 9560610501 19121221002