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2153135120 = 24526914189
BaseRepresentation
bin1000000001010110…
…0011110000010000
312120001111121010012
42000111203300100
513402200310440
6553353054052
7104233226603
oct20025436020
95501447105
102153135120
11a05430314
125010b7328
13284103266
14165d5c33a
15c9060e65
hex80563c10

2153135120 has 20 divisors (see below), whose sum is σ = 5006039340. Its totient is φ = 861254016.

The previous prime is 2153135113. The next prime is 2153135143. The reversal of 2153135120 is 215313512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 367565584 + 1785569536 = 19172^2 + 42256^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13457015 + ... + 13457174.

It is an arithmetic number, because the mean of its divisors is an integer number (250301967).

Almost surely, 22153135120 is an apocalyptic number.

2153135120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153135120 is an abundant number, since it is smaller than the sum of its proper divisors (2852904220).

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

2153135120 is a wasteful number, since it uses less digits than its factorization.

2153135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26914202 (or 26914196 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 2153135120 is about 46401.8870305939. The cubic root of 2153135120 is about 1291.2899221929.

Adding to 2153135120 its reverse (215313512), we get a palindrome (2368448632).

The spelling of 2153135120 in words is "two billion, one hundred fifty-three million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26914189 53828378 107656756 134570945 215313512 269141890 430627024 538283780 1076567560 2153135120