Search a number
-
+
1100321020123 = 13215161437019
BaseRepresentation
bin10000000000110000001…
…111100101100011011011
310220012010021010021112221
4100000300033211203123
5121011424140120443
62201251442044511
7142331660232163
oct20006017454333
93805107107487
101100321020123
11394709592186
121592bb349737
137c9b5455900
143b381d8d5a3
151d94dc62eed
hex100303e58db

1100321020123 has 24 divisors (see below), whose sum is σ = 1199728558080. Its totient is φ = 1008646610400.

The previous prime is 1100321019971. The next prime is 1100321020129. The reversal of 1100321020123 is 3210201230011.

It is not a de Polignac number, because 1100321020123 - 217 = 1100320889051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100321020097 and 1100321020106.

It is not an unprimeable number, because it can be changed into a prime (1100321020129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156759708 + ... + 156766726.

It is an arithmetic number, because the mean of its divisors is an integer number (49988689920).

Almost surely, 21100321020123 is an apocalyptic number.

1100321020123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1100321020123 is a deficient number, since it is larger than the sum of its proper divisors (99407537957).

1100321020123 is a wasteful number, since it uses less digits than its factorization.

1100321020123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13339 (or 13326 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1100321020123 its reverse (3210201230011), we get a palindrome (4310522250134).

The spelling of 1100321020123 in words is "one trillion, one hundred billion, three hundred twenty-one million, twenty thousand, one hundred twenty-three".

Divisors: 1 13 151 169 1963 6143 7019 25519 79859 91247 927593 1038167 1059869 1186211 12058709 13778297 43117717 156763217 179117861 560530321 6510775267 7286894173 84640078471 1100321020123