Search a number
-
+
20023301432001 = 37293710719143481
BaseRepresentation
bin1001000110110000010011…
…10001001110001011000001
32121220012122022012220012210
410203120021301032023001
510111030210131311001
6110330324440412333
74134431034643650
oct443301161161301
977805568186183
1020023301432001
11641a91a71985a
1222b47971770a9
13b2325c95271a
144d31c0bb3197
1524acba888dd6
hex123609c4e2c1

20023301432001 has 128 divisors (see below), whose sum is σ = 32891927592960. Its totient is φ = 10592312371200.

The previous prime is 20023301431891. The next prime is 20023301432027. The reversal of 20023301432001 is 10023410332002.

It is not a de Polignac number, because 20023301432001 - 217 = 20023301300929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20023301432081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 460485181 + ... + 460528661.

It is an arithmetic number, because the mean of its divisors is an integer number (256968184320).

Almost surely, 220023301432001 is an apocalyptic number.

20023301432001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20023301432001 is a deficient number, since it is larger than the sum of its proper divisors (12868626160959).

20023301432001 is a wasteful number, since it uses less digits than its factorization.

20023301432001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43855.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20023301432001 its reverse (10023410332002), we get a palindrome (30046711764003).

The spelling of 20023301432001 in words is "twenty trillion, twenty-three billion, three hundred one million, four hundred thirty-two thousand, one".

Divisors: 1 3 7 21 29 37 87 107 111 191 203 259 321 573 609 749 777 1073 1337 2247 3103 3219 3959 4011 5539 7067 7511 9309 11877 16617 20437 21201 21721 22533 27713 38773 43481 49469 61311 65163 83139 114811 116319 130443 143059 148407 204943 304367 344433 429177 592673 614829 756169 803677 913101 1260949 1434601 1608797 1778019 2268507 2411031 3782847 4148711 4303803 4652467 4826391 5293183 8304871 8826643 11261579 12446133 13957401 15879549 21928901 24914613 26479929 32567269 33784737 46655113 58134097 65786703 97701807 134921543 139965339 153502307 172141279 174402291 240841259 307280227 326585791 404764629 460506921 516423837 722523777 888621197 921840681 944450801 979757373 1204988953 1685888813 2150961589 2665863591 2833352403 3614966859 4992097091 5057666439 6220348379 6452884767 8911126583 14976291273 18661045137 25770014713 26733379749 32878984289 34944679637 62377886081 77310044139 98636952867 104834038911 180390102991 187133658243 230152890023 541170308973 690458670069 953490544381 2860471633143 6674433810667 20023301432001