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1011000001 = 112910131379
BaseRepresentation
bin111100010000101…
…010001011000001
32121110101010021111
4330100222023001
54032304000001
6244153123321
734024233604
oct7420521301
92543333244
101011000001
114797572a0
122426b9541
131315bbc6b
14983b233b
155db55851
hex3c42a2c1

1011000001 has 16 divisors (see below), whose sum is σ = 1152273600. Its totient is φ = 878584000.

The previous prime is 1010999971. The next prime is 1011000007. The reversal of 1011000001 is 1000001101.

It is not a de Polignac number, because 1011000001 - 215 = 1010967233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16530 + ... + 47908.

It is an arithmetic number, because the mean of its divisors is an integer number (72017100).

Almost surely, 21011000001 is an apocalyptic number.

1011000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011000001 is a deficient number, since it is larger than the sum of its proper divisors (141273599).

1011000001 is a wasteful number, since it uses less digits than its factorization.

1011000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31520.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1011000001 is about 31796.2262068944. The cubic root of 1011000001 is about 1003.6533041159.

Adding to 1011000001 its reverse (1000001101), we get a palindrome (2011001102).

It can be divided in two parts, 101 and 1000001, that multiplied together give a palindrome (101000101).

The spelling of 1011000001 in words is "one billion, eleven million, one", and thus it is an aban number and an uban number.

Divisors: 1 11 29 101 319 1111 2929 31379 32219 345169 909991 3169279 10009901 34862069 91909091 1011000001