Search a number
-
+
20023111132002 = 23211990110213799
BaseRepresentation
bin1001000110101111111100…
…11011010010001101100010
32121220012011001010122200200
410203113332123102031202
510111024312422211002
6110330253521530030
74134423234266316
oct443277633221542
977805131118620
1020023111132002
11641a832261630
1222b47434a3916
13b2322c3b3584
144d31a37d7b46
1524aca8ce8b1c
hex1235fe6d2362

20023111132002 has 48 divisors (see below), whose sum is σ = 47332138276800. Its totient is φ = 6066996012000.

The previous prime is 20023111132001. The next prime is 20023111132019.

20023111132002 is a `hidden beast` number, since 2 + 0 + 0 + 231 + 111 + 320 + 0 + 2 = 666.

20023111132002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20023111132001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3146502 + ... + 7067297.

It is an arithmetic number, because the mean of its divisors is an integer number (986086214100).

Almost surely, 220023111132002 is an apocalyptic number.

20023111132002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20023111132002 is an abundant number, since it is smaller than the sum of its proper divisors (27309027144798).

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

20023111132002 is a wasteful number, since it uses less digits than its factorization.

20023111132002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223719 (or 10223716 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2002311 and 1132002, that added together give a palindrome (3134313).

The spelling of 20023111132002 in words is "twenty trillion, twenty-three billion, one hundred eleven million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 9901 19802 29703 59406 89109 108911 178218 217822 326733 653466 980199 1960398 10213799 20427598 30641397 61282794 91924191 112351789 183848382 224703578 337055367 674110734 1011166101 2022332202 101126823899 202253647798 303380471697 606760943394 910141415091 1112395062889 1820282830182 2224790125778 3337185188667 6674370377334 10011555566001 20023111132002