Search a number
-
+
22013320120020 = 22325499245082611
BaseRepresentation
bin1010000000101011000000…
…01000000100011011010100
32212221110020010110120012100
411000111200020010123110
510341131234422320040
6114452440223322100
74431260410463055
oct500254010043324
985843203416170
1022013320120020
11701788435a179
1225763b4450330
13c38b02340818
14561643ba672c
1528293c44ab30
hex1405602046d4

22013320120020 has 72 divisors (see below), whose sum is σ = 66907553076000. Its totient is φ = 5858454709440.

The previous prime is 22013320120019. The next prime is 22013320120021. The reversal of 22013320120020 is 2002102331022.

22013320120020 is a `hidden beast` number, since 2 + 201 + 3 + 320 + 120 + 0 + 20 = 666.

22013320120020 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (22013320120019) and next prime (22013320120021).

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 = 22013320119975 and 22013320120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013320120021) 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, 122451486 + ... + 122631125.

It is an arithmetic number, because the mean of its divisors is an integer number (929271570500).

Almost surely, 222013320120020 is an apocalyptic number.

22013320120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22013320120020 is an abundant number, since it is smaller than the sum of its proper divisors (44894232955980).

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

22013320120020 is a wasteful number, since it uses less digits than its factorization.

22013320120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245083125 (or 245083120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22013320120020 its reverse (2002102331022), we get a palindrome (24015422451042).

The spelling of 22013320120020 in words is "twenty-two trillion, thirteen billion, three hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 499 998 1497 1996 2495 2994 4491 4990 5988 7485 8982 9980 14970 17964 22455 29940 44910 89820 245082611 490165222 735247833 980330444 1225413055 1470495666 2205743499 2450826110 2940991332 3676239165 4411486998 4901652220 7352478330 8822973996 11028717495 14704956660 22057434990 44114869980 122296222889 244592445778 366888668667 489184891556 611481114445 733777337334 1100666006001 1222962228890 1467554674668 1834443343335 2201332012002 2445924457780 3668886686670 4402664024004 5503330030005 7337773373340 11006660060010 22013320120020