Search a number
-
+
11013113002122 = 23271161312962429
BaseRepresentation
bin1010000001000011000010…
…1100000011100010001010
31102222211202210002012112200
42200100300230003202022
52420414323412031442
635231204304421030
72214446130645240
oct240206054034212
942884683065480
1011013113002122
1135666a91a6550
12129a4b9317776
1361b6bc03c6ca
142a1074d18790
151417229cd34c
hexa0430b0388a

11013113002122 has 96 divisors (see below), whose sum is σ = 29798241482880. Its totient is φ = 2855882136960.

The previous prime is 11013113002121. The next prime is 11013113002123. The reversal of 11013113002122 is 22120031131011.

11013113002122 is a `hidden beast` number, since 1 + 10 + 1 + 311 + 300 + 21 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (11013113002121) and next prime (11013113002123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11013113002095 and 11013113002104.

It is not an unprimeable number, because it can be changed into a prime (11013113002121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5631597 + ... + 7330832.

It is an arithmetic number, because the mean of its divisors is an integer number (310398348780).

Almost surely, 211013113002122 is an apocalyptic number.

11013113002122 is an abundant number, since it is smaller than the sum of its proper divisors (18785128480758).

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

11013113002122 is a wasteful number, since it uses less digits than its factorization.

11013113002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12963068 (or 12963065 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11013113002122 its reverse (22120031131011), we get a palindrome (33133144133133).

The spelling of 11013113002122 in words is "eleven trillion, thirteen billion, one hundred thirteen million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 613 693 1226 1386 1839 3678 4291 5517 6743 8582 11034 12873 13486 20229 25746 38619 40458 47201 60687 77238 94402 121374 141603 283206 424809 849618 12962429 25924858 38887287 77774574 90737003 116661861 142586719 181474006 233323722 272211009 285173438 427760157 544422018 816633027 855520314 998107033 1283280471 1633266054 1996214066 2566560942 2994321099 5988642198 7945968977 8982963297 15891937954 17965926594 23837906931 47675813862 55621782839 71513720793 87405658747 111243565678 143027441586 166865348517 174811317494 262216976241 333730697034 500596045551 524433952482 611839611229 786650928723 1001192091102 1223679222458 1573301857446 1835518833687 3671037667374 5506556501061 11013113002122