Search a number
-
+
1130220333333 = 327136729370297
BaseRepresentation
bin10000011100100110011…
…000011010100100010101
311000001021222221202121200
4100130212120122210111
5122004142401131313
62223114400103113
7144440625215430
oct20344630324425
94001258852550
101130220333333
113a6361a05793
12163064604a99
138276b9c6710
143c9baca8817
151e5edaedb73
hex1072661a915

1130220333333 has 96 divisors (see below), whose sum is σ = 2046258928896. Its totient is φ = 585249629184.

The previous prime is 1130220333311. The next prime is 1130220333337. The reversal of 1130220333333 is 3333330220311.

1130220333333 is a `hidden beast` number, since 1 + 1 + 302 + 20 + 3 + 3 + 3 + 333 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1130220333333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1130220333297 and 1130220333306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130220333337) 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 95 ways as a sum of consecutive naturals, for example, 16042641 + ... + 16112937.

It is an arithmetic number, because the mean of its divisors is an integer number (21315197176).

Almost surely, 21130220333333 is an apocalyptic number.

1130220333333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1130220333333 is a deficient number, since it is larger than the sum of its proper divisors (916038595563).

1130220333333 is a wasteful number, since it uses less digits than its factorization.

1130220333333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70683 (or 70680 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 1130220333333 its reverse (3333330220311), we get a palindrome (4463550553644).

The spelling of 1130220333333 in words is "one trillion, one hundred thirty billion, two hundred twenty million, three hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 7 9 13 21 39 63 67 91 117 201 273 293 469 603 819 871 879 1407 2051 2613 2637 3809 4221 6097 6153 7839 11427 18291 18459 19631 26663 34281 54873 58893 70297 79989 137417 176679 210891 239967 255203 412251 492079 632673 765609 913861 1236753 1476237 1786421 2296827 2741583 4428711 4709899 5359263 6397027 8224749 14129697 16077789 19191081 20597021 32969293 42389091 57573243 61228687 61791063 98907879 144179147 183686061 185373189 267761273 296723637 428600809 432537441 551058183 803283819 1285802427 1297612323 1380000407 1874328911 2409851457 3857407281 4140001221 5622986733 9660002849 12420003663 16868960199 17940005291 28980008547 53820015873 86940025641 125580037037 161460047619 376740111111 1130220333333