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2023133100 = 223526743777
BaseRepresentation
bin111100010010110…
…1000111110101100
312012222212210212120
41320211220332230
513120410224400
6532430432540
7101064230142
oct17045507654
95188783776
102023133100
1194900792a
12485662750
132631b68a1
1415299b592
15bc931ca0
hex78968fac

2023133100 has 36 divisors (see below), whose sum is σ = 5853599304. Its totient is φ = 539502080.

The previous prime is 2023133083. The next prime is 2023133117. The reversal of 2023133100 is 13313202.

It is an interprime number because it is at equal distance from previous prime (2023133083) and next prime (2023133117).

It is a super-2 number, since 2×20231331002 = 8186135080631220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2023133100.

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 11 ways as a sum of consecutive naturals, for example, 3371589 + ... + 3372188.

Almost surely, 22023133100 is an apocalyptic number.

2023133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023133100 is an abundant number, since it is smaller than the sum of its proper divisors (3830466204).

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

2023133100 is a wasteful number, since it uses less digits than its factorization.

2023133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743794 (or 6743787 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2023133100 is about 44979.2518835074. The cubic root of 2023133100 is about 1264.7600871920.

Adding to 2023133100 its reverse (13313202), we get a palindrome (2036446302).

The spelling of 2023133100 in words is "two billion, twenty-three million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6743777 13487554 20231331 26975108 33718885 40462662 67437770 80925324 101156655 134875540 168594425 202313310 337188850 404626620 505783275 674377700 1011566550 2023133100