[go: up one dir, main page]

Search a number
-
+
13023100 = 2252314201
BaseRepresentation
bin110001101011…
…011101111100
3220111122100001
4301223131330
511313214400
61143044044
7215460136
oct61533574
926448301
1013023100
1173954a2
124440624
13290c89c
141a30056
151223a6a
hexc6b77c

13023100 has 36 divisors (see below), whose sum is σ = 29178688. Its totient is φ = 5040000.

The previous prime is 13023067. The next prime is 13023119. The reversal of 13023100 is 132031.

It is a super-2 number, since 2×130231002 = 339202267220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 5200.

Almost surely, 213023100 is an apocalyptic number.

13023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14589344).

13023100 is an abundant number, since it is smaller than the sum of its proper divisors (16155588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13023100 is a wasteful number, since it uses less digits than its factorization.

13023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13023100 is about 3608.7532473141. The cubic root of 13023100 is about 235.2726577242.

Adding to 13023100 its reverse (132031), we get a palindrome (13155131).

The spelling of 13023100 in words is "thirteen million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 4201 8402 16804 21005 42010 84020 105025 130231 210050 260462 420100 520924 651155 1302310 2604620 3255775 6511550 13023100