Search a number
-
+
220202121011103 = 32711734352766827
BaseRepresentation
bin110010000100010111001101…
…001100111001111110011111
31001212200010011102102202222100
4302010113031030321332133
5212330242420434323403
62100155242522220143
764245035556520320
oct6204271514717637
91055603142382870
10220202121011103
1164188216720620
1220844790954653
1395b3c8112832a
143c53ba791c447
151a6ce686b22a3
hexc845cd339f9f

220202121011103 has 48 divisors (see below), whose sum is σ = 401986722099456. Its totient is φ = 112823716129920.

The previous prime is 220202121011101. The next prime is 220202121011123. The reversal of 220202121011103 is 301110121202022.

220202121011103 is a `hidden beast` number, since 220 + 20 + 212 + 101 + 110 + 3 = 666.

It is not a de Polignac number, because 220202121011103 - 21 = 220202121011101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220202121011101) 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, 2176332825 + ... + 2176434002.

It is an arithmetic number, because the mean of its divisors is an integer number (8374723377072).

Almost surely, 2220202121011103 is an apocalyptic number.

220202121011103 is a deficient number, since it is larger than the sum of its proper divisors (181784601088353).

220202121011103 is a wasteful number, since it uses less digits than its factorization.

220202121011103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352766924 (or 4352766921 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 220202121011103 its reverse (301110121202022), we get a palindrome (521312242213125).

It can be divided in two parts, 2202021 and 21011103, that added together give a square (23213124 = 48182).

The spelling of 220202121011103 in words is "two hundred twenty trillion, two hundred two billion, one hundred twenty-one million, eleven thousand, one hundred three".

Divisors: 1 3 7 9 11 21 33 63 73 77 99 219 231 511 657 693 803 1533 2409 4599 5621 7227 16863 50589 4352766827 13058300481 30469367789 39174901443 47880435097 91408103367 143641305291 274224310101 317751978371 335163045679 430923915873 953255935113 1005489137037 2224263848597 2859767805339 3016467411111 3495271762081 6672791545791 10485815286243 20018374637373 24466902334567 31457445858729 73400707003701 220202121011103