Search a number
-
+
2121140120 = 2351143112111
BaseRepresentation
bin111111001101110…
…0000011110011000
312110211022002020012
41332123200132120
513321002440440
6550251221052
7103364251661
oct17633403630
95424262205
102121140120
11999367a70
124b2447788
1327a5b01c8
141619d0368
15c6340e65
hex7e6e0798

2121140120 has 64 divisors (see below), whose sum is σ = 5327562240. Its totient is φ = 753379200.

The previous prime is 2121140117. The next prime is 2121140141. The reversal of 2121140120 is 210411212.

It is a happy number.

It is a super-2 number, since 2×21211401202 = 8998470817347228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121140095 and 2121140104.

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, 37136 + ... + 74975.

It is an arithmetic number, because the mean of its divisors is an integer number (83243160).

Almost surely, 22121140120 is an apocalyptic number.

2121140120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121140120 is an abundant number, since it is smaller than the sum of its proper divisors (3206422120).

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

2121140120 is a wasteful number, since it uses less digits than its factorization.

2121140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112176 (or 112172 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2121140120 is about 46055.8369807780. The cubic root of 2121140120 is about 1284.8619048457.

Adding to 2121140120 its reverse (210411212), we get a palindrome (2331551332).

It can be divided in two parts, 2121 and 140120, that added together give a palindrome (142241).

The spelling of 2121140120 in words is "two billion, one hundred twenty-one million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 112111 224222 448444 560555 896888 1121110 1233221 2242220 2466442 4484440 4820773 4932884 6166105 9641546 9865768 12332210 19283092 24103865 24664420 38566184 48207730 49328840 53028503 96415460 106057006 192830920 212114012 265142515 424228024 530285030 1060570060 2121140120