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2023311120 = 243517348731
BaseRepresentation
bin111100010011001…
…0100011100010000
312020000012212001220
41320212110130100
513120431423440
6532434325040
7101065601145
oct17046243420
95200185056
102023311120
11949119656
12485729780
1326324991c
14152a063cc
15bc9698d0
hex78994710

2023311120 has 80 divisors (see below), whose sum is σ = 6308649792. Its totient is φ = 536419840.

The previous prime is 2023311079. The next prime is 2023311133. The reversal of 2023311120 is 211133202.

It is a tau number, because it is divible by the number of its divisors (80).

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 2023311120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17155 + ... + 65885.

Almost surely, 22023311120 is an apocalyptic number.

2023311120 is a gapful number since it is divisible by the number (20) 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 2023311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154324896).

2023311120 is an abundant number, since it is smaller than the sum of its proper divisors (4285338672).

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

2023311120 is a wasteful number, since it uses less digits than its factorization.

2023311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48920 (or 48914 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2023311120 is about 44981.2307523927. The cubic root of 2023311120 is about 1264.7971824590.

Adding to 2023311120 its reverse (211133202), we get a palindrome (2234444322).

The spelling of 2023311120 in words is "two billion, twenty-three million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 173 240 346 519 692 865 1038 1384 1730 2076 2595 2768 3460 4152 5190 6920 8304 10380 13840 20760 41520 48731 97462 146193 194924 243655 292386 389848 487310 584772 730965 779696 974620 1169544 1461930 1949240 2339088 2923860 3898480 5847720 8430463 11695440 16860926 25291389 33721852 42152315 50582778 67443704 84304630 101165556 126456945 134887408 168609260 202331112 252913890 337218520 404662224 505827780 674437040 1011655560 2023311120