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114121104 = 243592683
BaseRepresentation
bin1101100110101…
…01100110010000
321221201221201120
412303111212100
5213203333404
615154002240
72554004406
oct663254620
9257657646
10114121104
1159466969
1232276380
131a8490a6
1411229476
15a0439d9
hex6cd5990

114121104 has 60 divisors (see below), whose sum is σ = 300333456. Its totient is φ = 37340864.

The previous prime is 114121103. The next prime is 114121129. The reversal of 114121104 is 401121411.

It is not an unprimeable number, because it can be changed into a prime (114121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166747 + ... + 167429.

Almost surely, 2114121104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150166728).

114121104 is an abundant number, since it is smaller than the sum of its proper divisors (186212352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114121104 is an equidigital number, since it uses as much as digits as its factorization.

114121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 747 counting only the distinct ones).

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

The square root of 114121104 is about 10682.7479610819. The cubic root of 114121104 is about 485.0523966490.

Adding to 114121104 its reverse (401121411), we get a palindrome (515242515).

The spelling of 114121104 in words is "one hundred fourteen million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 683 708 944 1366 1416 2049 2732 2832 3481 4098 5464 6962 8196 10443 10928 13924 16392 20886 27848 32784 40297 41772 55696 80594 83544 120891 161188 167088 241782 322376 483564 644752 967128 1934256 2377523 4755046 7132569 9510092 14265138 19020184 28530276 38040368 57060552 114121104