Search a number
-
+
1103012001 = 327213421457
BaseRepresentation
bin100000110111110…
…1010000010100001
32211212111211000100
41001233222002201
54224332341001
6301241213013
736222306300
oct10157520241
92755454010
101103012001
11516692273
12269491169
13147696930
14a66c4437
1566c7d586
hex41bea0a1

1103012001 has 72 divisors (see below), whose sum is σ = 2005045224. Its totient is φ = 579156480.

The previous prime is 1103011999. The next prime is 1103012017. The reversal of 1103012001 is 1002103011.

It can be written as a sum of positive squares in 4 ways, for example, as 2099601 + 1100912400 = 1449^2 + 33180^2 .

It is not a de Polignac number, because 1103012001 - 21 = 1103011999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1103012201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2413365 + ... + 2413821.

Almost surely, 21103012001 is an apocalyptic number.

It is an amenable number.

1103012001 is a deficient number, since it is larger than the sum of its proper divisors (902033223).

1103012001 is a wasteful number, since it uses less digits than its factorization.

1103012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1103012001 is about 33211.6244860139. The cubic root of 1103012001 is about 1033.2214473262.

Adding to 1103012001 its reverse (1002103011), we get a palindrome (2105115012).

The spelling of 1103012001 in words is "one billion, one hundred three million, twelve thousand, one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 421 441 457 637 819 1263 1371 1911 2947 3199 3789 4113 5473 5733 5941 8841 9597 16419 17823 20629 22393 26523 28791 38311 41587 49257 53469 61887 67179 114933 124761 185661 192397 201537 268177 291109 344799 374283 577191 804531 873327 1346779 1731573 2413593 2501161 2619981 4040337 7503483 9427453 12121011 17508127 22510449 28282359 52524381 84847077 122556889 157573143 367670667 1103012001