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10401120411 = 3111033730491
BaseRepresentation
bin10011010111111010…
…01000000010011011
3222211212112122212220
421223331020002123
5132300141323121
64440032035123
7515515031133
oct115375100233
928755478786
1010401120411
114458185790
122023392aa3
13c99b31a26
14709539ac3
1540d1e36c6
hex26bf4809b

10401120411 has 16 divisors (see below), whose sum is σ = 15130862208. Its totient is φ = 6302892800.

The previous prime is 10401120371. The next prime is 10401120413. The reversal of 10401120411 is 11402110401.

10401120411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10401120411 - 26 = 10401120347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10401120413) 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 15 ways as a sum of consecutive naturals, for example, 325876 + ... + 356366.

It is an arithmetic number, because the mean of its divisors is an integer number (945678888).

Almost surely, 210401120411 is an apocalyptic number.

10401120411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10401120411 is a deficient number, since it is larger than the sum of its proper divisors (4729741797).

10401120411 is a wasteful number, since it uses less digits than its factorization.

10401120411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40842.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10401120411 its reverse (11402110401), we get a palindrome (21803230812).

The spelling of 10401120411 in words is "ten billion, four hundred one million, one hundred twenty thousand, four hundred eleven".

Divisors: 1 3 11 33 10337 30491 31011 91473 113707 335401 341121 1006203 315185467 945556401 3467040137 10401120411