[go: up one dir, main page]

Search a number
-
+
23013100 = 22521120921
BaseRepresentation
bin101011111001…
…0011011101100
31121022012001001
41113302123230
521342404400
62141130044
7366415405
oct127623354
947265031
1023013100
1111a990a0
127859924
1349c9a26
1430b09ac
152048a6a
hex15f26ec

23013100 has 36 divisors (see below), whose sum is σ = 54480888. Its totient is φ = 8368000.

The previous prime is 23013097. The next prime is 23013103. The reversal of 23013100 is 131032.

It is an interprime number because it is at equal distance from previous prime (23013097) and next prime (23013103).

It is a super-2 number, since 2×230131002 = 1059205543220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23013103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9361 + ... + 11560.

It is an arithmetic number, because the mean of its divisors is an integer number (1513358).

Almost surely, 223013100 is an apocalyptic number.

23013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23013100 is an abundant number, since it is smaller than the sum of its proper divisors (31467788).

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

23013100 is a wasteful number, since it uses less digits than its factorization.

23013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20946 (or 20939 counting only the distinct ones).

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

The square root of 23013100 is about 4797.1970983065. The cubic root of 23013100 is about 284.4406799948.

Adding to 23013100 its reverse (131032), we get a palindrome (23144132).

The spelling of 23013100 in words is "twenty-three million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 20921 41842 83684 104605 209210 230131 418420 460262 523025 920524 1046050 1150655 2092100 2301310 4602620 5753275 11506550 23013100