Search a number
-
+
11682181401 = 311536679349
BaseRepresentation
bin10101110000100111…
…11111000100011001
31010011011002022012020
422320103333010121
5142411114301101
65211113405053
7562331621622
oct127023770431
933134068166
1011682181401
114a55317880
122320409789
131142368497
147cb72aa49
154858e2136
hex2b84ff119

11682181401 has 16 divisors (see below), whose sum is σ = 17312875200. Its totient is φ = 6946521920.

The previous prime is 11682181387. The next prime is 11682181409. The reversal of 11682181401 is 10418128611.

It is a cyclic number.

It is not a de Polignac number, because 11682181401 - 221 = 11680084249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11682181409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3337926 + ... + 3341423.

It is an arithmetic number, because the mean of its divisors is an integer number (1082054700).

Almost surely, 211682181401 is an apocalyptic number.

11682181401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11682181401 is a deficient number, since it is larger than the sum of its proper divisors (5630693799).

11682181401 is a wasteful number, since it uses less digits than its factorization.

11682181401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679416.

The product of its (nonzero) digits is 3072, while the sum is 33.

The spelling of 11682181401 in words is "eleven billion, six hundred eighty-two million, one hundred eighty-one thousand, four hundred one".

Divisors: 1 3 11 33 53 159 583 1749 6679349 20038047 73472839 220418517 354005497 1062016491 3894060467 11682181401