Search a number
-
+
23001310000 = 24542300131
BaseRepresentation
bin10101011010111111…
…000010001100110000
32012101000000121120101
4111122333002030300
5334101313410000
614322221522144
71442664623554
oct253277021460
965330017511
1023001310000
119833704709
12455b113354
13222742a506
141182b4d864
158e94bce6a
hex55afc2330

23001310000 has 50 divisors (see below), whose sum is σ = 55688495852. Its totient is φ = 9200520000.

The previous prime is 23001309941. The next prime is 23001310019. The reversal of 23001310000 is 1310032.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×230013100002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1140066 + ... + 1160065.

Almost surely, 223001310000 is an apocalyptic number.

23001310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23001310000 is an abundant number, since it is smaller than the sum of its proper divisors (32687185852).

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

23001310000 is an equidigital number, since it uses as much as digits as its factorization.

23001310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300159 (or 2300138 counting only the distinct ones).

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

Adding to 23001310000 its reverse (1310032), we get a palindrome (23002620032).

The spelling of 23001310000 in words is "twenty-three billion, one million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2300131 4600262 9200524 11500655 18401048 23001310 36802096 46002620 57503275 92005240 115006550 184010480 230013100 287516375 460026200 575032750 920052400 1150065500 1437581875 2300131000 2875163750 4600262000 5750327500 11500655000 23001310000