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401122107 = 32433102931
BaseRepresentation
bin10111111010001…
…010001100111011
31000221210010002100
4113322022030323
51310141401412
6103445234443
712640324131
oct2772121473
91027703070
10401122107
11196471a81
12b2402a23
1365145279
143b3b7751
1525335edc
hex17e8a33b

401122107 has 12 divisors (see below), whose sum is σ = 580742344. Its totient is φ = 266794560.

The previous prime is 401122081. The next prime is 401122121. The reversal of 401122107 is 701221104.

It is not a de Polignac number, because 401122107 - 219 = 400597819 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401122107.

It is not an unprimeable number, because it can be changed into a prime (401122177) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47569 + ... + 55362.

Almost surely, 2401122107 is an apocalyptic number.

401122107 is a deficient number, since it is larger than the sum of its proper divisors (179620237).

401122107 is a wasteful number, since it uses less digits than its factorization.

401122107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103370 (or 103367 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 401122107 is about 20028.0330287325. The cubic root of 401122107 is about 737.4946360617.

The spelling of 401122107 in words is "four hundred one million, one hundred twenty-two thousand, one hundred seven".

Divisors: 1 3 9 433 1299 3897 102931 308793 926379 44569123 133707369 401122107