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402211121 = 1329432577
BaseRepresentation
bin10111111110010…
…100000100110001
31001000211102221012
4113332110010301
51310431223441
6103524440305
712652511114
oct2776240461
91030742835
10402211121
11197046194
12b2849095
1365436b60
143b5bc57b
152549d9eb
hex17f94131

402211121 has 24 divisors (see below), whose sum is σ = 459544680. Its totient is φ = 349526016.

The previous prime is 402211099. The next prime is 402211153. The reversal of 402211121 is 121112204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 113720896 + 288490225 = 10664^2 + 16985^2 .

It is not a de Polignac number, because 402211121 - 210 = 402210097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 402211096 and 402211105.

It is not an unprimeable number, because it can be changed into a prime (402211021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696785 + ... + 697361.

It is an arithmetic number, because the mean of its divisors is an integer number (19147695).

Almost surely, 2402211121 is an apocalyptic number.

It is an amenable number.

402211121 is a deficient number, since it is larger than the sum of its proper divisors (57333559).

402211121 is a wasteful number, since it uses less digits than its factorization.

402211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 402211121 is about 20055.2018439107. The cubic root of 402211121 is about 738.1614456957.

Adding to 402211121 its reverse (121112204), we get a palindrome (523323325).

The spelling of 402211121 in words is "four hundred two million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 13 29 43 377 559 577 1247 1849 7501 16211 16733 24037 24811 53621 217529 322543 697073 719519 1066873 9353747 13869349 30939317 402211121