Search a number
-
+
1013100023 = 13174639901
BaseRepresentation
bin111100011000101…
…010110111110111
32121121022210222002
4330120222313313
54033323200043
6244310125515
734051131245
oct7430526767
92547283862
101013100023
1147a961051
1224335089b
13131b75a90
149879b795
155de1cbb8
hex3c62adf7

1013100023 has 16 divisors (see below), whose sum is σ = 1157821056. Its totient is φ = 878169600.

The previous prime is 1013100019. The next prime is 1013100041. The reversal of 1013100023 is 3200013101.

It is a cyclic number.

It is not a de Polignac number, because 1013100023 - 22 = 1013100019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013099977 and 1013100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97373 + ... + 107273.

It is an arithmetic number, because the mean of its divisors is an integer number (72363816).

Almost surely, 21013100023 is an apocalyptic number.

1013100023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1013100023 is a deficient number, since it is larger than the sum of its proper divisors (144721033).

1013100023 is a wasteful number, since it uses less digits than its factorization.

1013100023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10394.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1013100023 is about 31829.2322087731. The cubic root of 1013100023 is about 1004.3477440600.

Adding to 1013100023 its reverse (3200013101), we get a palindrome (4213113124).

The spelling of 1013100023 in words is "one billion, thirteen million, one hundred thousand, twenty-three".

Divisors: 1 13 17 221 463 6019 7871 9901 102323 128713 168317 2188121 4584163 59594119 77930771 1013100023