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2120100516 = 2232154338167
BaseRepresentation
bin111111001011110…
…0010101010100100
312110202100021011100
41332113202222210
513320221204031
6550213040100
7103352362032
oct17627425244
95422307140
102120100516
11998817996
124b2026030
1327a307c61
141617dd552
15c61d7de6
hex7e5e2aa4

2120100516 has 36 divisors (see below), whose sum is σ = 5362756672. Its totient is φ = 706223664.

The previous prime is 2120100511. The next prime is 2120100517. The reversal of 2120100516 is 6150010212.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2120100511) by changing a digit.

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, 36465 + ... + 74631.

Almost surely, 22120100516 is an apocalyptic number.

It is an amenable number.

2120100516 is an abundant number, since it is smaller than the sum of its proper divisors (3242656156).

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

2120100516 is a wasteful number, since it uses less digits than its factorization.

2120100516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39720 (or 39715 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2120100516 is about 46044.5492539562. The cubic root of 2120100516 is about 1284.6519602274.

Adding to 2120100516 its reverse (6150010212), we get a palindrome (8270110728).

The spelling of 2120100516 in words is "two billion, one hundred twenty million, one hundred thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1543 3086 4629 6172 9258 13887 18516 27774 38167 55548 76334 114501 152668 229002 343503 458004 687006 1374012 58891681 117783362 176675043 235566724 353350086 530025129 706700172 1060050258 2120100516