Search a number
-
+
1020110112221 = 6710110911312239
BaseRepresentation
bin11101101100000110100…
…11010000010111011101
310121112002020010222022012
432312003103100113131
5113203141142042341
62100344312001005
7133462164612554
oct16660323202735
93545066128265
101020110112221
11363698622952
12145854990165
1375271717925
14375331d2d9b
151b806ed30eb
hexed834d05dd

1020110112221 has 32 divisors (see below), whose sum is σ = 1064603865600. Its totient is φ = 977003596800.

The previous prime is 1020110112187. The next prime is 1020110112283. The reversal of 1020110112221 is 1222110110201.

It is a cyclic number.

It is not a de Polignac number, because 1020110112221 - 222 = 1020105917917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020110112196 and 1020110112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020110112521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83343020 + ... + 83355258.

It is an arithmetic number, because the mean of its divisors is an integer number (33268870800).

Almost surely, 21020110112221 is an apocalyptic number.

It is an amenable number.

1020110112221 is a deficient number, since it is larger than the sum of its proper divisors (44493753379).

1020110112221 is a wasteful number, since it uses less digits than its factorization.

1020110112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1020110112221 its reverse (1222110110201), we get a palindrome (2242220222422).

The spelling of 1020110112221 in words is "one trillion, twenty billion, one hundred ten million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 67 101 109 113 6767 7303 7571 11009 11413 12239 12317 737603 764671 820013 825239 1236139 1244017 1334051 1383007 82821313 83349139 89381417 92661469 134739151 139683707 150747763 9027523117 9358808369 10100100121 15225524063 1020110112221