Search a number
-
+
1322120120 = 235131252313
BaseRepresentation
bin100111011001101…
…1111001110111000
310102010210122211212
41032303133032320
510201430320440
6335105342252
744522556416
oct11663371670
93363718755
101322120120
11619336462
1230a937988
13180bb13c9
14c783c2b6
157b10e465
hex4ecdf3b8

1322120120 has 32 divisors (see below), whose sum is σ = 2997490320. Its totient is φ = 524808960.

The previous prime is 1322120099. The next prime is 1322120123. The reversal of 1322120120 is 210212231.

It is a happy number.

It is a super-2 number, since 2×13221201202 = 3496003223417628800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322120095 and 1322120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120917 + ... + 131396.

Almost surely, 21322120120 is an apocalyptic number.

1322120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322120120 is an abundant number, since it is smaller than the sum of its proper divisors (1675370200).

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

1322120120 is a wasteful number, since it uses less digits than its factorization.

1322120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252455 (or 252451 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1322120120 is about 36360.9697340431. The cubic root of 1322120120 is about 1097.5482916953.

Adding to 1322120120 its reverse (210212231), we get a palindrome (1532332351).

The spelling of 1322120120 in words is "one billion, three hundred twenty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 252313 504626 1009252 1261565 2018504 2523130 5046260 10092520 33053003 66106006 132212012 165265015 264424024 330530030 661060060 1322120120