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11221000000002 = 23213591794540573
BaseRepresentation
bin1010001101001001011110…
…1110000001001000000010
31110201201100210010220011200
42203102113232001020002
52432321102000000002
635510504540322030
72235455561165202
oct243222756011002
943651323126150
1011221000000002
113636887a72a11
121312856243316
1363519c358020
142ab15668a402
15146d3d57ab1c
hexa3497b81202

11221000000002 has 96 divisors (see below), whose sum is σ = 26774856763200. Its totient is φ = 3375134303616.

The previous prime is 11220999999947. The next prime is 11221000000009. The reversal of 11221000000002 is 20000000012211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11221000000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200988 + ... + 4741560.

It is an arithmetic number, because the mean of its divisors is an integer number (278904757950).

Almost surely, 211221000000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221000000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13387428381600).

11221000000002 is an abundant number, since it is smaller than the sum of its proper divisors (15553856763198).

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

11221000000002 is a wasteful number, since it uses less digits than its factorization.

11221000000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540832 (or 4540829 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11221000000002 its reverse (20000000012211), we get a palindrome (31221000012213).

The spelling of 11221000000002 in words is "eleven trillion, two hundred twenty-one billion, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 179 234 354 358 531 537 767 1062 1074 1534 1611 2301 2327 3222 4602 4654 6903 6981 10561 13806 13962 20943 21122 31683 41886 63366 95049 137293 190098 274586 411879 823758 1235637 2471274 4540573 9081146 13621719 27243438 40865157 59027449 81730314 118054898 177082347 267893807 354164694 531247041 535787614 803681421 812762567 1062494082 1607362842 1625525134 2411044263 2438287701 3482619491 4822088526 4876575402 6965238982 7314863103 10447858473 10565913371 14629726206 20895716946 21131826742 31343575419 31697740113 47952991453 62687150838 63395480226 95093220339 95905982906 143858974359 190186440678 287717948718 431576923077 623388888889 863153846154 1246777777778 1870166666667 3740333333334 5610500000001 11221000000002