Search a number
-
+
4213220223124 = 22112192331966343
BaseRepresentation
bin111101010011110111011…
…111101010100010010100
3112220210001120011022020001
4331103313133222202110
51023012133334114444
612543305431221044
7613252345000513
oct75236737524224
915823046138201
104213220223124
1113848a8a83100
12580672b17784
132473c7004733
14107cc711467a
15748ded828d4
hex3d4f77ea894

4213220223124 has 72 divisors (see below), whose sum is σ = 8567518115520. Its totient is φ = 1806517722240.

The previous prime is 4213220223119. The next prime is 4213220223131.

4213220223124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4213220223092 and 4213220223101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159497 + ... + 3125839.

It is an arithmetic number, because the mean of its divisors is an integer number (118993307160).

Almost surely, 24213220223124 is an apocalyptic number.

4213220223124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4213220223124 is an abundant number, since it is smaller than the sum of its proper divisors (4354297892396).

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

4213220223124 is a wasteful number, since it uses less digits than its factorization.

4213220223124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966621 (or 1966608 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4213220 and 223124, that added together give a palindrome (4436344).

The spelling of 4213220223124 in words is "four trillion, two hundred thirteen billion, two hundred twenty million, two hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 233 242 418 466 484 836 932 2299 2563 4427 4598 5126 8854 9196 10252 17708 28193 48697 56386 97394 112772 194788 535667 1071334 1966343 2142668 3932686 7865372 21629773 37360517 43259546 74721034 86519092 149442068 237927503 410965687 458157919 475855006 821931374 916315838 951710012 1643862748 1832631676 4520622557 5039737109 8705000461 9041245114 10079474218 17410000922 18082490228 20158948436 34820001844 55437108199 95755005071 110874216398 191510010142 221748432796 383020020284 1053305055781 2106610111562 4213220223124