Search a number
-
+
20330123121 = 3371129573307
BaseRepresentation
bin10010111011110001…
…010000111101110001
31221110211201021001000
4102323301100331301
5313114002414441
613201201032213
71316541123660
oct227361207561
957424637030
1020330123121
118692908450
123b34625669
131bbcbc1769
14dac09add7
157dec2a2b6
hex4bbc50f71

20330123121 has 64 divisors (see below), whose sum is σ = 37574645760. Its totient is φ = 10554338880.

The previous prime is 20330123059. The next prime is 20330123147. The reversal of 20330123121 is 12132103302.

20330123121 is a `hidden beast` number, since 20 + 330 + 1 + 2 + 312 + 1 = 666.

It is not a de Polignac number, because 20330123121 - 26 = 20330123057 is a prime.

It is a super-2 number, since 2×203301231212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20330123094 and 20330123103.

It is not an unprimeable number, because it can be changed into a prime (20330123161) 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 63 ways as a sum of consecutive naturals, for example, 6145950 + ... + 6149256.

It is an arithmetic number, because the mean of its divisors is an integer number (587103840).

Almost surely, 220330123121 is an apocalyptic number.

20330123121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20330123121 is a deficient number, since it is larger than the sum of its proper divisors (17244522639).

20330123121 is a wasteful number, since it uses less digits than its factorization.

20330123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20330123121 its reverse (12132103302), we get a palindrome (32462226423).

The spelling of 20330123121 in words is "twenty billion, three hundred thirty million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 2957 3307 8871 9921 20699 23149 26613 29763 32527 36377 62097 69447 79839 89289 97581 109131 186291 208341 227689 254639 292743 327393 558873 625023 683067 763917 878229 982179 2049201 2291751 6147603 6875253 9778799 29336397 68451593 88009191 107566789 205354779 264027573 322700367 616064337 752967523 968101101 1848193011 2258902569 2904303303 6776707707 20330123121