Search a number
-
+
10412221401 = 3210111454589
BaseRepresentation
bin10011011001001110…
…11110001111011001
3222212122102122120200
421230213132033121
5132311012041101
64441110012413
7516011264421
oct115447361731
928778378520
1010412221401
11446347805a
122027047109
13c9c21a76a
1470abc9481
1540e187986
hex26c9de3d9

10412221401 has 12 divisors (see below), whose sum is σ = 15188786340. Its totient is φ = 6872752800.

The previous prime is 10412221399. The next prime is 10412221427.

10412221401 is a `hidden beast` number, since 1 + 0 + 41 + 2 + 221 + 401 = 666.

10412221401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7586235801 + 2825985600 = 87099^2 + 53160^2 .

It is not a de Polignac number, because 10412221401 - 21 = 10412221399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10412221481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5726386 + ... + 5728203.

It is an arithmetic number, because the mean of its divisors is an integer number (1265732195).

Almost surely, 210412221401 is an apocalyptic number.

It is an amenable number.

10412221401 is a deficient number, since it is larger than the sum of its proper divisors (4776564939).

10412221401 is a wasteful number, since it uses less digits than its factorization.

10412221401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11454696 (or 11454693 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 10412221401 in words is "ten billion, four hundred twelve million, two hundred twenty-one thousand, four hundred one".

Divisors: 1 3 9 101 303 909 11454589 34363767 103091301 1156913489 3470740467 10412221401