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2154113000 = 235313165701
BaseRepresentation
bin1000000001100101…
…0010011111101000
312120010100021111222
42000121102133220
513402423104000
6553430041212
7104244441554
oct20031223750
95503307458
102154113000
11a05a38a86
125014a9208
132843863a0
14166134864
15c91a5a85
hex806527e8

2154113000 has 64 divisors (see below), whose sum is σ = 5428397520. Its totient is φ = 795360000.

The previous prime is 2154112997. The next prime is 2154113021. The reversal of 2154113000 is 3114512.

2154113000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 88774084 + 2065338916 = 9422^2 + 45446^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2154113000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69851 + ... + 95850.

Almost surely, 22154113000 is an apocalyptic number.

2154113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2154113000 is an abundant number, since it is smaller than the sum of its proper divisors (3274284520).

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

2154113000 is a wasteful number, since it uses less digits than its factorization.

2154113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165735 (or 165721 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2154113000 is about 46412.4229059419. The cubic root of 2154113000 is about 1291.4853791126.

Adding to 2154113000 its reverse (3114512), we get a palindrome (2157227512).

The spelling of 2154113000 in words is "two billion, one hundred fifty-four million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 165701 331402 662804 828505 1325608 1657010 2154113 3314020 4142525 4308226 6628040 8285050 8616452 10770565 16570100 17232904 20712625 21541130 33140200 41425250 43082260 53852825 82850500 86164520 107705650 165701000 215411300 269264125 430822600 538528250 1077056500 2154113000