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2120041020 = 2235311139807
BaseRepresentation
bin111111001011101…
…0100001000111100
312110202020020112210
41332113110020330
513320212303040
6550211500420
7103352023416
oct17627241074
95422206483
102120041020
11998787219
124b1bb7710
1327a2b6b56
141617c59b6
15c61c5480
hex7e5d423c

2120041020 has 48 divisors (see below), whose sum is σ = 6127607808. Its totient is φ = 547106880.

The previous prime is 2120041003. The next prime is 2120041039. The reversal of 2120041020 is 201400212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120040987 and 2120041005.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 568044 + ... + 571763.

It is an arithmetic number, because the mean of its divisors is an integer number (127658496).

Almost surely, 22120041020 is an apocalyptic number.

2120041020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120041020 is an abundant number, since it is smaller than the sum of its proper divisors (4007566788).

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

2120041020 is a wasteful number, since it uses less digits than its factorization.

2120041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139850 (or 1139848 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120041020 is about 46043.9031794656. The cubic root of 2120041020 is about 1284.6399431293.

Adding to 2120041020 its reverse (201400212), we get a palindrome (2321441232).

The spelling of 2120041020 in words is "two billion, one hundred twenty million, forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1139807 2279614 3419421 4559228 5699035 6838842 11398070 13677684 17097105 22796140 34194210 35334017 68388420 70668034 106002051 141336068 176670085 212004102 353340170 424008204 530010255 706680340 1060020510 2120041020