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20213331124 = 22743611571753
BaseRepresentation
bin10010110100110011…
…101111010010110100
31221011200221121112111
4102310303233102310
5312344103043444
613141425500404
71313622323350
oct226463572264
957150847474
1020213331124
118632997938
123b014a1704
131ba194ba7c
14d9a778460
157d485a234
hex4b4cef4b4

20213331124 has 96 divisors (see below), whose sum is σ = 42336901376. Its totient is φ = 8264954880.

The previous prime is 20213331121. The next prime is 20213331133. The reversal of 20213331124 is 42113331202.

It is a junction number, because it is equal to n+sod(n) for n = 20213331095 and 20213331104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213331121) 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, 11529832 + ... + 11531584.

Almost surely, 220213331124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213331124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168450688).

20213331124 is an abundant number, since it is smaller than the sum of its proper divisors (22123570252).

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

20213331124 is a wasteful number, since it uses less digits than its factorization.

20213331124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 20213331124 its reverse (42113331202), we get a palindrome (62326662326).

The spelling of 20213331124 in words is "twenty billion, two hundred thirteen million, three hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 61 86 122 157 172 244 301 314 427 602 628 854 1099 1204 1708 1753 2198 2623 3506 4396 5246 6751 7012 9577 10492 12271 13502 18361 19154 24542 27004 36722 38308 47257 49084 67039 73444 75379 94514 106933 134078 150758 189028 213866 268156 275221 301516 411811 427732 527653 550442 748531 823622 1055306 1100884 1497062 1647244 1926547 2110612 2882677 2994124 3853094 4598119 5765354 7706188 9196238 11530708 11834503 16788481 18392476 23669006 32186833 33576962 47338012 64373666 67153924 82841521 117519367 128747332 165683042 235038734 331366084 470077468 721904683 1443809366 2887618732 5053332781 10106665562 20213331124