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2132213121 = 321012345669
BaseRepresentation
bin111111100010110…
…1111110110000001
312111121010122112100
41333011233312001
513331321304441
6551324421013
7103560340533
oct17705576601
95447118470
102132213121
119a4640305
124b60a7769
1327c98928c
14163273853
15c72cbcb6
hex7f16fd81

2132213121 has 12 divisors (see below), whose sum is σ = 3110358420. Its totient is φ = 1407400800.

The previous prime is 2132213099. The next prime is 2132213143. The reversal of 2132213121 is 1213122312.

It is an interprime number because it is at equal distance from previous prime (2132213099) and next prime (2132213143).

It can be written as a sum of positive squares in 2 ways, for example, as 965034225 + 1167178896 = 31065^2 + 34164^2 .

It is not a de Polignac number, because 2132213121 - 213 = 2132204929 is a prime.

It is a super-3 number, since 3×21322131213 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2132213094 and 2132213103.

It is not an unprimeable number, because it can be changed into a prime (2132213191) 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 11 ways as a sum of consecutive naturals, for example, 1171926 + ... + 1173743.

It is an arithmetic number, because the mean of its divisors is an integer number (259196535).

Almost surely, 22132213121 is an apocalyptic number.

It is an amenable number.

2132213121 is a deficient number, since it is larger than the sum of its proper divisors (978145299).

2132213121 is a wasteful number, since it uses less digits than its factorization.

2132213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345776 (or 2345773 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2132213121 is about 46175.8932885981. The cubic root of 2132213121 is about 1287.0938164577.

Adding to 2132213121 its reverse (1213122312), we get a palindrome (3345335433).

It can be divided in two parts, 21322 and 13121, that added together give a palindrome (34443).

The spelling of 2132213121 in words is "two billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 2345669 7037007 21111021 236912569 710737707 2132213121