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11122201002 = 231197101103167
BaseRepresentation
bin10100101101110111…
…10101000110101010
31001201010101100111110
422112323311012222
5140234240413002
65035351211150
7542422101663
oct122673650652
931633340443
1011122201002
114798213260
1221a4976ab6
131083342333
1477720036a
1545167be6c
hex296ef51aa

11122201002 has 128 divisors (see below), whose sum is σ = 25149616128. Its totient is φ = 3250944000.

The previous prime is 11122200961. The next prime is 11122201003. The reversal of 11122201002 is 20010222111.

It is not an unprimeable number, because it can be changed into a prime (11122201003) 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 63 ways as a sum of consecutive naturals, for example, 66599923 + ... + 66600089.

It is an arithmetic number, because the mean of its divisors is an integer number (196481376).

Almost surely, 211122201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12574808064).

11122201002 is an abundant number, since it is smaller than the sum of its proper divisors (14027415126).

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

11122201002 is a wasteful number, since it uses less digits than its factorization.

11122201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11122201002 its reverse (20010222111), we get a palindrome (31132423113).

The spelling of 11122201002 in words is "eleven billion, one hundred twenty-two million, two hundred one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 97 101 103 167 194 202 206 291 303 309 334 501 582 606 618 1002 1067 1111 1133 1837 2134 2222 2266 3201 3333 3399 3674 5511 6402 6666 6798 9797 9991 10403 11022 16199 16867 17201 19594 19982 20806 29391 29973 31209 32398 33734 34402 48597 50601 51603 58782 59946 62418 97194 101202 103206 107767 109901 114433 178189 185537 189211 215534 219802 228866 323301 329703 343299 356378 371074 378422 534567 556611 567633 646602 659406 686598 1009091 1069134 1113222 1135266 1636099 1668497 1737301 2018182 3027273 3272198 3336994 3474602 4908297 5005491 5211903 6054546 9816594 10010982 10423806 11100001 17997089 18353467 19110311 22200002 33300003 35994178 36706934 38220622 53991267 55060401 57330933 66600006 107982534 110120802 114661866 168518197 337036394 505554591 1011109182 1853700167 3707400334 5561100501 11122201002