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12200220200103 = 3131927311870609
BaseRepresentation
bin1011000110001001010111…
…0010101000110010100111
31121012022220022201010001020
42301202111302220302213
53044342022332400403
641540412003502223
72366302554435225
oct261422562506247
947168808633036
1012200220200103
1139840a2275661
121450599087973
136a6625519580
143026cb01db15
1516255088e453
hexb1895ca8ca7

12200220200103 has 48 divisors (see below), whose sum is σ = 18742078787040. Its totient is φ = 7015244433408.

The previous prime is 12200220200087. The next prime is 12200220200123. The reversal of 12200220200103 is 30100202200221.

It is a happy number.

It is not a de Polignac number, because 12200220200103 - 24 = 12200220200087 is a prime.

It is a super-2 number, since 2×122002202001032 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200220200123) 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, 4907538 + ... + 6963071.

It is an arithmetic number, because the mean of its divisors is an integer number (390459974730).

Almost surely, 212200220200103 is an apocalyptic number.

12200220200103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12200220200103 is a deficient number, since it is larger than the sum of its proper divisors (6541858586937).

12200220200103 is a wasteful number, since it uses less digits than its factorization.

12200220200103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11870736 (or 11870717 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12200220200103 its reverse (30100202200221), we get a palindrome (42300422400324).

The spelling of 12200220200103 in words is "twelve trillion, two hundred billion, two hundred twenty million, two hundred thousand, one hundred three".

Divisors: 1 3 13 19 39 57 73 219 247 361 741 949 1083 1387 2847 4161 4693 14079 18031 26353 54093 79059 342589 1027767 11870609 35611827 154317917 225541571 462953751 676624713 866554457 2599663371 2932040423 4285289849 8796121269 11265207941 12855869547 16464534683 33795623823 49393604049 55708768037 167126304111 214038950879 312826158977 642116852637 938478476931 4066740066701 12200220200103