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2101012122 = 2311265711981
BaseRepresentation
bin111110100111010…
…1110011010011010
312102102102110210210
41331032232122122
513300324341442
6544251551550
7103031210526
oct17516563232
95372373723
102101012122
11988a6a560
124a775b5b6
13276383751
1415d070d86
15c46b719c
hex7d3ae69a

2101012122 has 32 divisors (see below), whose sum is σ = 4586134464. Its totient is φ = 636377600.

The previous prime is 2101012019. The next prime is 2101012127. The reversal of 2101012122 is 2212101012.

It is a junction number, because it is equal to n+sod(n) for n = 2101012098 and 2101012107.

It is not an unprimeable number, because it can be changed into a prime (2101012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169372 + ... + 181352.

It is an arithmetic number, because the mean of its divisors is an integer number (143316702).

Almost surely, 22101012122 is an apocalyptic number.

2101012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2101012122 is an abundant number, since it is smaller than the sum of its proper divisors (2485122342).

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

2101012122 is a wasteful number, since it uses less digits than its factorization.

2101012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14654.

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

The square root of 2101012122 is about 45836.7987756562. The cubic root of 2101012122 is about 1280.7848624759.

Adding to 2101012122 its reverse (2212101012), we get a palindrome (4313113134).

The spelling of 2101012122 in words is "two billion, one hundred one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 2657 5314 7971 11981 15942 23962 29227 35943 58454 71886 87681 131791 175362 263582 395373 790746 31833517 63667034 95500551 191001102 350168687 700337374 1050506061 2101012122