Search a number
-
+
20011000011023 = 7219760713812473
BaseRepresentation
bin1001000110011001011001…
…00011000001100100001111
32121212000212222220222000102
410203030230203001210033
510110330012000323043
6110320532042321315
74133514143411600
oct443145443014417
977760788828012
1020011000011023
11641568790313a
1222b23234b923b
13b2204c2133b8
144d2775131da7
1524a7ea9286b8
hex12332c8c190f

20011000011023 has 48 divisors (see below), whose sum is σ = 23461261680384. Its totient is φ = 17017883205120.

The previous prime is 20011000011011. The next prime is 20011000011047. The reversal of 20011000011023 is 32011000011002.

It is not a de Polignac number, because 20011000011023 - 222 = 20010995816719 is a prime.

It is a super-2 number, since 2×200110000110232 (a number of 27 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 = 20011000010995 and 20011000011013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011000011073) 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, 8091790115 + ... + 8091792587.

It is an arithmetic number, because the mean of its divisors is an integer number (488776285008).

Almost surely, 220011000011023 is an apocalyptic number.

20011000011023 is a deficient number, since it is larger than the sum of its proper divisors (3450261669361).

20011000011023 is a wasteful number, since it uses less digits than its factorization.

20011000011023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20011000011023 its reverse (32011000011002), we get a palindrome (52022000022025).

The spelling of 20011000011023 in words is "twenty trillion, eleven billion, eleven thousand, twenty-three".

Divisors: 1 7 49 197 607 1379 1381 2473 4249 9653 9667 17311 29743 67669 119579 121177 272057 487181 837053 838267 1501111 1904399 3410267 3415213 5859371 5867869 10507777 13330793 23871869 23906491 41075083 73554439 165138599 167345437 295718867 672796961 1155970193 2070032069 2073034291 4709578727 8091791351 14490224483 14511240037 32967051089 101578680259 408387755327 2858714287289 20011000011023