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23203413000 = 2332532578157
BaseRepresentation
bin10101100111000001…
…111111110000001000
32012220002022111202200
4111213001333300020
5340010033204000
614354241400200
71451000520255
oct254701776010
965802274680
1023203413000
1199277a3689
1245b6939060
13225a26caa1
1411a191c42c
1590c0e0500
hex56707fc08

23203413000 has 96 divisors (see below), whose sum is σ = 78427566360. Its totient is φ = 6187574400.

The previous prime is 23203412993. The next prime is 23203413017. The reversal of 23203413000 is 31430232.

23203413000 is a `hidden beast` number, since 2 + 3 + 20 + 341 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1996481124 + 21206931876 = 44682^2 + 145626^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 1280079 + ... + 1298078.

Almost surely, 223203413000 is an apocalyptic number.

23203413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23203413000 is an abundant number, since it is smaller than the sum of its proper divisors (55224153360).

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

23203413000 is a wasteful number, since it uses less digits than its factorization.

23203413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578184 (or 2578167 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23203413000 its reverse (31430232), we get a palindrome (23234843232).

The spelling of 23203413000 in words is "twenty-three billion, two hundred three million, four hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 2578157 5156314 7734471 10312628 12890785 15468942 20625256 23203413 25781570 30937884 38672355 46406826 51563140 61875768 64453925 77344710 92813652 103126280 116017065 128907850 154689420 185627304 193361775 232034130 257815700 309378840 322269625 386723550 464068260 515631400 580085325 644539250 773447100 928136520 966808875 1160170650 1289078500 1546894200 1933617750 2320341300 2578157000 2900426625 3867235500 4640682600 5800853250 7734471000 11601706500 23203413000