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2123113120 = 25531428047
BaseRepresentation
bin111111010001100…
…0010001010100000
312110222000022200021
41332203002022200
513322004104440
6550401403224
7103420110112
oct17643021240
95428008607
102123113120
1199a495347
124b3039514
1327ab2126b
14161d853b2
15c65d084a
hex7e8c22a0

2123113120 has 48 divisors (see below), whose sum is σ = 5177668608. Its totient is φ = 821848320.

The previous prime is 2123113079. The next prime is 2123113121. The reversal of 2123113120 is 213113212.

It is a super-2 number, since 2×21231131202 = 9015218640632268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2123113094 and 2123113103.

It is not an unprimeable number, because it can be changed into a prime (2123113121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 209064 + ... + 218983.

It is an arithmetic number, because the mean of its divisors is an integer number (107868096).

Almost surely, 22123113120 is an apocalyptic number.

2123113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123113120 is an abundant number, since it is smaller than the sum of its proper divisors (3054555488).

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

2123113120 is a wasteful number, since it uses less digits than its factorization.

2123113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428093 (or 428085 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2123113120 is about 46077.2516541514. The cubic root of 2123113120 is about 1285.2601571700.

Adding to 2123113120 its reverse (213113212), we get a palindrome (2336226332).

The spelling of 2123113120 in words is "two billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 428047 856094 1712188 2140235 3424376 4280470 6848752 8560940 13269457 13697504 17121880 26538914 34243760 53077828 66347285 68487520 106155656 132694570 212311312 265389140 424622624 530778280 1061556560 2123113120