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20433222131 = 7177114916231
BaseRepresentation
bin10011000001111010…
…100011100111110011
31221202000201020021212
4103001322203213303
5313321401102011
613215322510335
71322232344120
oct230172434763
957660636255
1020433222131
118736026243
123b630653ab
131c0837b9aa
14dbba57747
157e8ce308b
hex4c1ea39f3

20433222131 has 32 divisors (see below), whose sum is σ = 25244006400. Its totient is φ = 16141708800.

The previous prime is 20433222119. The next prime is 20433222179. The reversal of 20433222131 is 13122233402.

It is not a de Polignac number, because 20433222131 - 230 = 19359480307 is a prime.

It is a super-2 number, since 2×204332221312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20433222097 and 20433222106.

It is not an unprimeable number, because it can be changed into a prime (20433222031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250786 + ... + 1267016.

It is an arithmetic number, because the mean of its divisors is an integer number (788875200).

Almost surely, 220433222131 is an apocalyptic number.

20433222131 is a deficient number, since it is larger than the sum of its proper divisors (4810784269).

20433222131 is a wasteful number, since it uses less digits than its factorization.

20433222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16475.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20433222131 its reverse (13122233402), we get a palindrome (33555455533).

The spelling of 20433222131 in words is "twenty billion, four hundred thirty-three million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 17 71 119 149 497 1043 1207 2533 8449 10579 16231 17731 74053 113617 179843 275927 1152401 1258901 1931489 2418419 8066807 16928933 19590817 41113123 137135719 171707749 287791861 1201954243 2919031733 20433222131