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2153133000 = 233253239237
BaseRepresentation
bin1000000001010110…
…0011001111001000
312120001111111012200
42000111203033020
513402200224000
6553353040200
7104233220454
oct20025431710
95501444180
102153133000
11a05429767
125010b6060
132841022c5
14165d5b664
15c9060500
hex805633c8

2153133000 has 96 divisors (see below), whose sum is σ = 7277619960. Its totient is φ = 574166400.

The previous prime is 2153132983. The next prime is 2153133019. The reversal of 2153133000 is 3313512.

It can be written as a sum of positive squares in 4 ways, for example, as 602506116 + 1550626884 = 24546^2 + 39378^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110619 + ... + 128618.

Almost surely, 22153133000 is an apocalyptic number.

2153133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153133000 is an abundant number, since it is smaller than the sum of its proper divisors (5124486960).

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

2153133000 is a wasteful number, since it uses less digits than its factorization.

2153133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239264 (or 239247 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 2153133000 is about 46401.8641866897. The cubic root of 2153133000 is about 1291.2894983868.

Adding to 2153133000 its reverse (3313512), we get a palindrome (2156446512).

The spelling of 2153133000 in words is "two billion, one hundred fifty-three million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 239237 478474 717711 956948 1196185 1435422 1913896 2153133 2392370 2870844 3588555 4306266 4784740 5741688 5980925 7177110 8612532 9569480 10765665 11961850 14354220 17225064 17942775 21531330 23923700 28708440 29904625 35885550 43062660 47847400 53828325 59809250 71771100 86125320 89713875 107656650 119618500 143542200 179427750 215313300 239237000 269141625 358855500 430626600 538283250 717711000 1076566500 2153133000