Search a number
-
+
1085136003 = 327431033889
BaseRepresentation
bin100000010101101…
…1101110010000011
32210121212121202100
41000223131302003
54210243323003
6255402121443
735614334550
oct10053356203
92717777670
101085136003
11507592816
122634b0283
13143a78213
14a418da27
15653ebba3
hex40addc83

1085136003 has 48 divisors (see below), whose sum is σ = 1851266560. Its totient is φ = 599622912.

The previous prime is 1085135969. The next prime is 1085136077. The reversal of 1085136003 is 3006315801.

1085136003 is a `hidden beast` number, since 1 + 0 + 8 + 51 + 3 + 600 + 3 = 666.

It is not a de Polignac number, because 1085136003 - 210 = 1085134979 is a prime.

It is a super-3 number, since 3×10851360033 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1085136103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277083 + ... + 280971.

Almost surely, 21085136003 is an apocalyptic number.

1085136003 is a deficient number, since it is larger than the sum of its proper divisors (766130557).

1085136003 is a wasteful number, since it uses less digits than its factorization.

1085136003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1085136003 is about 32941.4025657682. The cubic root of 1085136003 is about 1027.6093747565.

The spelling of 1085136003 in words is "one billion, eighty-five million, one hundred thirty-six thousand, three".

Divisors: 1 3 7 9 21 43 63 103 129 301 309 387 721 903 927 2163 2709 3889 4429 6489 11667 13287 27223 31003 35001 39861 81669 93009 167227 245007 279027 400567 501681 1170589 1201701 1505043 2803969 3511767 3605103 8411907 10535301 17224381 25235721 51673143 120570667 155019429 361712001 1085136003