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20331001030122 = 23217383317333989
BaseRepresentation
bin1001001111101101011100…
…00110000010010111101010
32122222121212102022000221200
410213312232012002113222
510131100342230430442
6111123533302545030
74165603105244256
oct447665606022752
978877772260850
1020331001030122
116529369065092
12234434b138176
13b462889b5743
14504050743266
15253cc8ea534c
hex127dae1825ea

20331001030122 has 48 divisors (see below), whose sum is σ = 46653879397320. Its totient is φ = 6376688833536.

The previous prime is 20331001030111. The next prime is 20331001030129. The reversal of 20331001030122 is 22103010013302.

20331001030122 is a `hidden beast` number, since 2 + 0 + 331 + 0 + 0 + 10 + 301 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13425768046161 + 6905232983961 = 3664119^2 + 2627781^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20331001030095 and 20331001030104.

It is not an unprimeable number, because it can be changed into a prime (20331001030129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7494097 + ... + 9839892.

Almost surely, 220331001030122 is an apocalyptic number.

20331001030122 is an abundant number, since it is smaller than the sum of its proper divisors (26322878367198).

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

20331001030122 is a wasteful number, since it uses less digits than its factorization.

20331001030122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17337847 (or 17337844 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20331001030122 its reverse (22103010013302), we get a palindrome (42434011043424).

The spelling of 20331001030122 in words is "twenty trillion, three hundred thirty-one billion, one million, thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 3833 7666 11499 22998 34497 65161 68994 130322 195483 390966 586449 1172898 17333989 34667978 52001967 104003934 156005901 294677813 312011802 589355626 884033439 1768066878 2652100317 5304200634 66441179837 132882359674 199323539511 398647079022 597970618533 1129500057229 1195941237066 2259000114458 3388500171687 6777000343374 10165500515061 20331001030122