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10414342122111 = 333729207356927
BaseRepresentation
bin1001011110001100011100…
…1010011010101001111111
31100212121020102000220201000
42113203013022122221333
52331112033040401421
634052141022421343
72123261051310354
oct227430712325177
940777212026630
1010414342122111
113355774698aa4
121202452131853
135a70b6c30c45
142800b1dc462b
15130d7a9ee226
hex978c729aa7f

10414342122111 has 32 divisors (see below), whose sum is σ = 15846232596480. Its totient is φ = 6754998729888.

The previous prime is 10414342122103. The next prime is 10414342122157. The reversal of 10414342122111 is 11122124341401.

10414342122111 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 3 + 421 + 221 + 11 = 666.

It is not a de Polignac number, because 10414342122111 - 23 = 10414342122103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414342122161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28999330 + ... + 29356256.

It is an arithmetic number, because the mean of its divisors is an integer number (495194768640).

Almost surely, 210414342122111 is an apocalyptic number.

10414342122111 is a deficient number, since it is larger than the sum of its proper divisors (5431890474369).

10414342122111 is a wasteful number, since it uses less digits than its factorization.

10414342122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386180 (or 386174 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10414342122111 its reverse (11122124341401), we get a palindrome (21536466463512).

The spelling of 10414342122111 in words is "ten trillion, four hundred fourteen billion, three hundred forty-two million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 9 27 37 111 333 999 29207 87621 262863 356927 788589 1070781 1080659 3212343 3241977 9637029 9725931 13206299 29177793 39618897 118856691 356570073 10424766889 31274300667 93822902001 281468706003 385716374893 1157149124679 3471447374037 10414342122111