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1045760001 = 311132187513
BaseRepresentation
bin111110010101010…
…000100000000001
32200212210010000220
4332111100200001
54120203310001
6251434133253
734625545656
oct7625204001
92625703026
101045760001
11497338a70
12252281229
1313886c700
149cc5dc2d
1561c1ec36
hex3e550801

1045760001 has 24 divisors (see below), whose sum is σ = 1647122976. Its totient is φ = 585037440.

The previous prime is 1045759997. The next prime is 1045760059. The reversal of 1045760001 is 1000675401.

It is not a de Polignac number, because 1045760001 - 22 = 1045759997 is a prime.

It is a super-2 number, since 2×10457600012 = 2187227959383040002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1045760081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88180 + ... + 99333.

It is an arithmetic number, because the mean of its divisors is an integer number (68630124).

Almost surely, 21045760001 is an apocalyptic number.

1045760001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1045760001 is a deficient number, since it is larger than the sum of its proper divisors (601362975).

1045760001 is a wasteful number, since it uses less digits than its factorization.

1045760001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187553 (or 187540 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1045760001 is about 32338.2127057140. The cubic root of 1045760001 is about 1015.0264097248.

The spelling of 1045760001 in words is "one billion, forty-five million, seven hundred sixty thousand, one".

Divisors: 1 3 11 13 33 39 143 169 429 507 1859 5577 187513 562539 2062643 2437669 6187929 7313007 26814359 31689697 80443077 95069091 348586667 1045760001