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11461311401 = 233764121011
BaseRepresentation
bin10101010110010010…
…11011101110101001
31002120202110221111212
422223021123232221
5141433043431101
65133143402505
7554010353021
oct125311335651
932522427455
1011461311401
11495167a991
12227a453435
131108684a87
147aa274a81
154713141bb
hex2ab25bba9

11461311401 has 16 divisors (see below), whose sum is σ = 12302610048. Its totient is φ = 10649548800.

The previous prime is 11461311377. The next prime is 11461311409. The reversal of 11461311401 is 10411316411.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11461311401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11461311409) 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 15 ways as a sum of consecutive naturals, for example, 534986 + ... + 555996.

It is an arithmetic number, because the mean of its divisors is an integer number (768913128).

Almost surely, 211461311401 is an apocalyptic number.

It is an amenable number.

11461311401 is a deficient number, since it is larger than the sum of its proper divisors (841298647).

11461311401 is a wasteful number, since it uses less digits than its factorization.

11461311401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21712.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 11461311401 its reverse (10411316411), we get a palindrome (21872627812).

The spelling of 11461311401 in words is "eleven billion, four hundred sixty-one million, three hundred eleven thousand, four hundred one".

Divisors: 1 23 37 641 851 14743 21011 23717 483253 545491 777407 13468051 17880361 309765173 498317887 11461311401