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2123212122 = 23347836569
BaseRepresentation
bin111111010001101…
…1010010101011010
312110222012100111000
41332203122111122
513322020241442
6550403445430
7103421001543
oct17643322532
95428170430
102123212122
1199a552769
124b3086876
1327ab57345
14161dad4ca
15c65eed4c
hex7e8da55a

2123212122 has 32 divisors (see below), whose sum is σ = 4818643200. Its totient is φ = 692678304.

The previous prime is 2123212121. The next prime is 2123212123. The reversal of 2123212122 is 2212123212.

It is an interprime number because it is at equal distance from previous prime (2123212121) and next prime (2123212123).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2123212095 and 2123212104.

It is not an unprimeable number, because it can be changed into a prime (2123212121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415747 + ... + 420822.

It is an arithmetic number, because the mean of its divisors is an integer number (150582600).

Almost surely, 22123212122 is an apocalyptic number.

2123212122 is an abundant number, since it is smaller than the sum of its proper divisors (2695431078).

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

2123212122 is a wasteful number, since it uses less digits than its factorization.

2123212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836627 (or 836621 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2123212122 is about 46078.3259461539. The cubic root of 2123212122 is about 1285.2801343358.

Adding to 2123212122 its reverse (2212123212), we get a palindrome (4335335334).

The spelling of 2123212122 in words is "two billion, one hundred twenty-three million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 836569 1673138 2509707 5019414 7529121 15058242 22587363 39318743 45174726 78637486 117956229 235912458 353868687 707737374 1061606061 2123212122