Search a number
-
+
2021112000120 = 233516842600001
BaseRepresentation
bin11101011010010011101…
…010011010111001111000
321011012211202210120121110
4131122103222122321320
5231103214133000440
64144252552240320
7266010016354563
oct35322352327170
97135752716543
102021112000120
1170a170040a74
122878563a00a0
13118789431a35
146db727194da
15378916a0080
hex1d693a9ae78

2021112000120 has 32 divisors (see below), whose sum is σ = 6063336000720. Its totient is φ = 538963200000.

The previous prime is 2021112000119. The next prime is 2021112000121. The reversal of 2021112000120 is 210002111202.

It is an interprime number because it is at equal distance from previous prime (2021112000119) and next prime (2021112000121).

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 = 2021112000096 and 2021112000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021112000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8421299881 + ... + 8421300120.

Almost surely, 22021112000120 is an apocalyptic number.

2021112000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021112000120 is an abundant number, since it is smaller than the sum of its proper divisors (4042224000600).

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

2021112000120 is a wasteful number, since it uses less digits than its factorization.

2021112000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16842600015 (or 16842600011 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2021112000120 its reverse (210002111202), we get a palindrome (2231114111322).

The spelling of 2021112000120 in words is "two trillion, twenty-one billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 16842600001 33685200002 50527800003 67370400004 84213000005 101055600006 134740800008 168426000010 202111200012 252639000015 336852000020 404222400024 505278000030 673704000040 1010556000060 2021112000120