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104214002211 = 32114192512331
BaseRepresentation
bin110000100001110100…
…0110111101000100011
3100221222212000211112200
41201003220313220203
53201412241032321
6115513015424243
710346343255144
oct1410350675043
9327885024480
10104214002211
11402190a6360
1218245085083
139a9a87b887
14508899dacb
152a9e182d26
hex1843a37a23

104214002211 has 24 divisors (see below), whose sum is σ = 164607992640. Its totient is φ = 63009236400.

The previous prime is 104214002209. The next prime is 104214002227. The reversal of 104214002211 is 112200412401.

104214002211 is a `hidden beast` number, since 1 + 0 + 42 + 1 + 400 + 221 + 1 = 666.

It is not a de Polignac number, because 104214002211 - 21 = 104214002209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104214002201) 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 23 ways as a sum of consecutive naturals, for example, 1214685 + ... + 1297646.

It is an arithmetic number, because the mean of its divisors is an integer number (6858666360).

Almost surely, 2104214002211 is an apocalyptic number.

104214002211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104214002211 is a deficient number, since it is larger than the sum of its proper divisors (60393990429).

104214002211 is a wasteful number, since it uses less digits than its factorization.

104214002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512767 (or 2512764 counting only the distinct ones).

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

Adding to 104214002211 its reverse (112200412401), we get a palindrome (216414414612).

The spelling of 104214002211 in words is "one hundred four billion, two hundred fourteen million, two thousand, two hundred eleven".

Divisors: 1 3 9 11 33 99 419 1257 3771 4609 13827 41481 2512331 7536993 22610979 27635641 82906923 248720769 1052666689 3158000067 9474000201 11579333579 34738000737 104214002211