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1100023001 = 72112389997
BaseRepresentation
bin100000110010001…
…0000010011011001
32211122212221212122
41001210100103121
54223101214001
6301053151025
736155020100
oct10144202331
92748787778
101100023001
11514a30620
1226848b475
13146b8b2ac
14a6147037
156688cb1b
hex419104d9

1100023001 has 48 divisors (see below), whose sum is σ = 1474485120. Its totient is φ = 809867520.

The previous prime is 1100022997. The next prime is 1100023007. The reversal of 1100023001 is 1003200011.

It is not a de Polignac number, because 1100023001 - 22 = 1100022997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100023001.

It is not an unprimeable number, because it can be changed into a prime (1100023007) 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 47 ways as a sum of consecutive naturals, for example, 1102835 + ... + 1103831.

It is an arithmetic number, because the mean of its divisors is an integer number (30718440).

Almost surely, 21100023001 is an apocalyptic number.

1100023001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100023001 is a deficient number, since it is larger than the sum of its proper divisors (374462119).

1100023001 is a wasteful number, since it uses less digits than its factorization.

1100023001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1100023001 is about 33166.5946548632. The cubic root of 1100023001 is about 1032.2873103986.

Adding to 1100023001 its reverse (1003200011), we get a palindrome (2103223012).

The spelling of 1100023001 in words is "one billion, one hundred million, twenty-three thousand, one".

Divisors: 1 7 11 23 49 77 89 161 253 539 623 979 997 1127 1771 2047 4361 6853 6979 10967 12397 14329 22517 22931 47971 48853 76769 88733 100303 157619 160517 252241 537383 621131 976063 1103333 1123619 1765687 2040859 4347917 6832441 12359809 14286013 22449449 47827087 100002091 157146143 1100023001