Search a number
-
+
2001136460130 = 23359837539793
BaseRepresentation
bin11101000111101101000…
…001110010000101100010
321002022021122022000012000
4131013231001302011202
5230241311413211010
64131150455144430
7264402012153633
oct35075501620542
97068248260160
102001136460130
1170174a3a9135
12283a00675116
13116924b3c5a2
146cbd979d88a
15370c2b667c0
hex1d1ed072162

2001136460130 has 64 divisors (see below), whose sum is σ = 5341793253120. Its totient is φ = 533093453568.

The previous prime is 2001136460129. The next prime is 2001136460243. The reversal of 2001136460130 is 310646311002.

2001136460130 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 1 + 3 + 646 + 0 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2001136460094 and 2001136460103.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3504487 + ... + 4035306.

It is an arithmetic number, because the mean of its divisors is an integer number (83465519580).

Almost surely, 22001136460130 is an apocalyptic number.

2001136460130 is an abundant number, since it is smaller than the sum of its proper divisors (3340656792990).

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

2001136460130 is a wasteful number, since it uses less digits than its factorization.

2001136460130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540792 (or 7540786 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 2001136460130 in words is "two trillion, one billion, one hundred thirty-six million, four hundred sixty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 983 1966 2949 4915 5898 8847 9830 14745 17694 26541 29490 44235 53082 88470 132705 265410 7539793 15079586 22619379 37698965 45238758 67858137 75397930 113096895 135716274 203574411 226193790 339290685 407148822 678581370 1017872055 2035744110 7411616519 14823233038 22234849557 37058082595 44469699114 66704548671 74116165190 111174247785 133409097342 200113646013 222348495570 333522743355 400227292026 667045486710 1000568230065 2001136460130