Search a number
-
+
20332103022 = 23272115234007
BaseRepresentation
bin10010111011111000…
…110100010101101110
31221110222102211221200
4102323320310111232
5313120004244042
613201311310330
71316564011200
oct227370642556
957428384850
1020332103022
118693a3aa30
123b3521b3a6
131bc04359ba
14dac454770
157deebbc4c
hex4bbe3456e

20332103022 has 144 divisors (see below), whose sum is σ = 56024721792. Its totient is φ = 5269652640.

The previous prime is 20332103009. The next prime is 20332103023. The reversal of 20332103022 is 22030123302.

It is a happy number.

20332103022 is a `hidden beast` number, since 20 + 332 + 10 + 302 + 2 = 666.

It is a super-3 number, since 3×203321030223 (a number of 32 digits) contains 333 as substring.

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 = 20332102986 and 20332103004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332103023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5072143 + ... + 5076149.

It is an arithmetic number, because the mean of its divisors is an integer number (389060568).

Almost surely, 220332103022 is an apocalyptic number.

20332103022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332103022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28012360896).

20332103022 is an abundant number, since it is smaller than the sum of its proper divisors (35692618770).

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

20332103022 is a wasteful number, since it uses less digits than its factorization.

20332103022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20332103022 its reverse (22030123302), we get a palindrome (42362226324).

The spelling of 20332103022 in words is "twenty billion, three hundred thirty-two million, one hundred three thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 523 539 693 882 1046 1078 1386 1569 1617 3138 3234 3661 4007 4707 4851 5753 7322 8014 9414 9702 10983 11506 12021 17259 21966 24042 25627 28049 32949 34518 36063 40271 44077 51254 51777 56098 65898 72126 76881 80542 84147 88154 103554 120813 132231 153762 168294 196343 230643 241626 252441 264462 281897 308539 362439 392686 396693 461286 504882 563794 589029 617078 724878 793386 845691 925617 1178058 1691382 1767087 1851234 2095661 2159773 2537073 2776851 3534174 4191322 4319546 5074146 5553702 6286983 6479319 12573966 12958638 14669627 18860949 19437957 23052271 29339254 37721898 38875914 44008881 46104542 69156813 88017762 102687389 132026643 138313626 161365897 205374778 207470439 264053286 308062167 322731794 414940878 484097691 616124334 924186501 968195382 1129561279 1452293073 1848373002 2259122558 2904586146 3388683837 6777367674 10166051511 20332103022