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122205153340 = 22560471010461
BaseRepresentation
bin111000111001111111…
…1101010100000111100
3102200102200120000012101
41301303333222200330
54000234004401330
6132050144314444
711554233443614
oct1616377524074
9380380500171
10122205153340
11479106944a6
121b826312a24
13b6a700152a
145cb4165a44
1532a388e4ca
hex1c73fea83c

122205153340 has 24 divisors (see below), whose sum is σ = 256673515392. Its totient is φ = 48873929280.

The previous prime is 122205153307. The next prime is 122205153407. The reversal of 122205153340 is 43351502221.

It is a super-4 number, since 4×1222051533404 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122205153299 and 122205153308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384291 + ... + 626170.

It is an arithmetic number, because the mean of its divisors is an integer number (10694729808).

Almost surely, 2122205153340 is an apocalyptic number.

122205153340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122205153340 is an abundant number, since it is smaller than the sum of its proper divisors (134468362052).

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

122205153340 is a wasteful number, since it uses less digits than its factorization.

122205153340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016517 (or 1016515 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 122205153340 its reverse (43351502221), we get a palindrome (165556655561).

The spelling of 122205153340 in words is "one hundred twenty-two billion, two hundred five million, one hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 6047 12094 24188 30235 60470 120940 1010461 2020922 4041844 5052305 10104610 20209220 6110257667 12220515334 24441030668 30551288335 61102576670 122205153340