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20151034000 = 245310075517
BaseRepresentation
bin10010110001000110…
…000110000010010000
31221000100201120221121
4102301012012002100
5312232131042000
613131322332024
71312234651156
oct226106060220
957010646847
1020151034000
118600808109
123aa465a014
131b91a79376
14d9239d3d6
157ce151b1a
hex4b1186090

20151034000 has 40 divisors (see below), whose sum is σ = 48725205048. Its totient is φ = 8060412800.

The previous prime is 20151033977. The next prime is 20151034039. The reversal of 20151034000 is 43015102.

It can be written as a sum of positive squares in 4 ways, for example, as 41525136 + 20109508864 = 6444^2 + 141808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5035759 + ... + 5039758.

Almost surely, 220151034000 is an apocalyptic number.

20151034000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20151034000 is an abundant number, since it is smaller than the sum of its proper divisors (28574171048).

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

20151034000 is a wasteful number, since it uses less digits than its factorization.

20151034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075540 (or 10075524 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 20151034000 its reverse (43015102), we get a palindrome (20194049102).

The spelling of 20151034000 in words is "twenty billion, one hundred fifty-one million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10075517 20151034 40302068 50377585 80604136 100755170 161208272 201510340 251887925 403020680 503775850 806041360 1007551700 1259439625 2015103400 2518879250 4030206800 5037758500 10075517000 20151034000