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20311330221 = 3271377332083
BaseRepresentation
bin10010111010101001…
…100100110110101101
31221102112100111000200
4102322221210312231
5313044200031341
613155250144113
71316222313120
oct227251446655
957375314020
1020311330221
118683242026
123b2a282039
131bb90418c0
14da97a83b7
157dd266db6
hex4baa64dad

20311330221 has 48 divisors (see below), whose sum is σ = 36156871296. Its totient is φ = 10699475328.

The previous prime is 20311330219. The next prime is 20311330223. The reversal of 20311330221 is 12203311302.

20311330221 is a `hidden beast` number, since 2 + 0 + 311 + 330 + 2 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (20311330219) and next prime (20311330223).

It is not a de Polignac number, because 20311330221 - 21 = 20311330219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20311330194 and 20311330203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311330223) 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 47 ways as a sum of consecutive naturals, for example, 617046 + ... + 649128.

It is an arithmetic number, because the mean of its divisors is an integer number (753268152).

Almost surely, 220311330221 is an apocalyptic number.

20311330221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20311330221 is a deficient number, since it is larger than the sum of its proper divisors (15845541075).

20311330221 is a wasteful number, since it uses less digits than its factorization.

20311330221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32882 (or 32879 counting only the distinct ones).

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

Adding to 20311330221 its reverse (12203311302), we get a palindrome (32514641523).

The spelling of 20311330221 in words is "twenty billion, three hundred eleven million, three hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 773 819 2319 5411 6957 10049 16233 30147 32083 48699 70343 90441 96249 211029 224581 288747 417079 633087 673743 1251237 2021229 2919553 3753711 8758659 24800159 26275977 74400477 173601113 223201431 322402067 520803339 967206201 1562410017 2256814469 2901618603 6770443407 20311330221