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1100011023 = 34197110067
BaseRepresentation
bin100000110010000…
…1101011000001111
32211122212100110000
41001210031120033
54223100323043
6301053015343
736154640136
oct10144153017
92748770400
101100011023
11514a22621
12268484553
13146b859c7
14a614291d
15668892d3
hex4190d60f

1100011023 has 40 divisors (see below), whose sum is σ = 1754248320. Its totient is φ = 684890640.

The previous prime is 1100011021. The next prime is 1100011051. The reversal of 1100011023 is 3201100011.

It is not a de Polignac number, because 1100011023 - 21 = 1100011021 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100010996 and 1100011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100011021) 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 39 ways as a sum of consecutive naturals, for example, 104236 + ... + 114302.

It is an arithmetic number, because the mean of its divisors is an integer number (43856208).

Almost surely, 21100011023 is an apocalyptic number.

1100011023 is a deficient number, since it is larger than the sum of its proper divisors (654237297).

1100011023 is a wasteful number, since it uses less digits than its factorization.

1100011023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10169 (or 10160 counting only the distinct ones).

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

The square root of 1100011023 is about 33166.4140811153. The cubic root of 1100011023 is about 1032.2835635732.

Adding to 1100011023 its reverse (3201100011), we get a palindrome (4301111034).

The spelling of 1100011023 in words is "one billion, one hundred million, eleven thousand, twenty-three".

Divisors: 1 3 9 19 27 57 71 81 171 213 513 639 1349 1539 1917 4047 5751 10067 12141 30201 36423 90603 109269 191273 271809 573819 714757 815427 1721457 2144271 5164371 6432813 13580383 15493113 19298439 40741149 57895317 122223447 366670341 1100011023