Search a number
-
+
20010001110093 = 321712715126325931
BaseRepresentation
bin1001000110010111100010…
…00000100001010001001101
32121211221022101022112112200
410203023301000201101031
510110320440241010333
6110320245000352113
74133450324036151
oct443136100412115
977757271275480
1020010001110093
116415214a70085
1222b20a4a75639
13b21c2029c567
144d26bc5cd061
1524a78cdb2c13
hex1232f102144d

20010001110093 has 96 divisors (see below), whose sum is σ = 31168030113792. Its totient is φ = 12326416704000.

The previous prime is 20010001110079. The next prime is 20010001110103. The reversal of 20010001110093 is 39001110001002.

It is not a de Polignac number, because 20010001110093 - 226 = 20009934001229 is a prime.

It is a super-3 number, since 3×200100011100933 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010001100093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771650338 + ... + 771676268.

It is an arithmetic number, because the mean of its divisors is an integer number (324666980352).

Almost surely, 220010001110093 is an apocalyptic number.

It is an amenable number.

20010001110093 is a deficient number, since it is larger than the sum of its proper divisors (11158029003699).

20010001110093 is a wasteful number, since it uses less digits than its factorization.

20010001110093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26495 (or 26492 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 20010001110093 its reverse (39001110001002), we get a palindrome (59011111111095).

The spelling of 20010001110093 in words is "twenty trillion, ten billion, one million, one hundred ten thousand, ninety-three".

Divisors: 1 3 9 17 51 127 151 153 263 381 453 789 1143 1359 2159 2367 2567 4471 6477 7701 13413 19177 19431 23103 25931 33401 39713 40239 57531 77793 100203 119139 172593 233379 300609 326009 357417 440827 567817 675121 978027 1322481 1703451 2025363 2934081 3293237 3915581 3967443 5043551 5110353 6076089 6819853 9879711 11746743 15130653 20459559 29639133 35240229 45391959 55985029 61378677 66564877 85740367 115937501 167955087 199694631 257221101 347812503 497278787 503865261 599083893 771663303 866121331 1029797803 1043437509 1491836361 2598363993 3089393409 4475509083 7795091979 8453739379 9268180227 14724062627 17506562651 25361218137 44172187881 52519687953 76083654411 130784320981 132516563643 157559063859 392352962943 1177058888829 2223333456677 6670000370031 20010001110093