Search a number
-
+
2002111122 = 231194132237
BaseRepresentation
bin111011101010101…
…1100101010010010
312011112022210010210
41313111130222102
513100020023442
6530400104550
7100420443444
oct16725345222
95145283123
102002111122
119381597a0
1247a605156
1325ba3624b
1414dc88494
15bab7d19c
hex7755ca92

2002111122 has 32 divisors (see below), whose sum is σ = 4373020224. Its totient is φ = 606036800.

The previous prime is 2002111117. The next prime is 2002111151. The reversal of 2002111122 is 2211112002.

It is a junction number, because it is equal to n+sod(n) for n = 2002111098 and 2002111107.

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, 45988 + ... + 78224.

It is an arithmetic number, because the mean of its divisors is an integer number (136656882).

Almost surely, 22002111122 is an apocalyptic number.

2002111122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002111122 is an abundant number, since it is smaller than the sum of its proper divisors (2370909102).

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

2002111122 is a wasteful number, since it uses less digits than its factorization.

2002111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33194.

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

The square root of 2002111122 is about 44744.9563861671. The cubic root of 2002111122 is about 1260.3642018479.

Adding to 2002111122 its reverse (2211112002), we get a palindrome (4213223124).

The spelling of 2002111122 in words is "two billion, two million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 941 1882 2823 5646 10351 20702 31053 32237 62106 64474 96711 193422 354607 709214 1063821 2127642 30335017 60670034 91005051 182010102 333685187 667370374 1001055561 2002111122