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1114110041 = 112233131279
BaseRepresentation
bin100001001100111…
…1111100001011001
32212122101122122212
41002121333201121
54240203010131
6302315124505
736415531142
oct10231774131
92778348585
101114110041
11521982400
12271143735
13149a81215
14a7d72ac9
1567c21a2b
hex4267f859

1114110041 has 24 divisors (see below), whose sum is σ = 1282928640. Its totient is φ = 964941120.

The previous prime is 1114109999. The next prime is 1114110059. The reversal of 1114110041 is 1400114111.

It is a de Polignac number, because none of the positive numbers 2k-1114110041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1114109998 and 1114110025.

It is not an unprimeable number, because it can be changed into a prime (1114110541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870440 + ... + 871718.

It is an arithmetic number, because the mean of its divisors is an integer number (53455360).

Almost surely, 21114110041 is an apocalyptic number.

1114110041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1114110041 is a deficient number, since it is larger than the sum of its proper divisors (168818599).

1114110041 is a wasteful number, since it uses less digits than its factorization.

1114110041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 1114110041 is about 33378.2869692260. The cubic root of 1114110041 is about 1036.6751687951.

Adding to 1114110041 its reverse (1400114111), we get a palindrome (2514224152).

The spelling of 1114110041 in words is "one billion, one hundred fourteen million, one hundred ten thousand, forty-one".

Divisors: 1 11 23 121 253 313 1279 2783 3443 7199 14069 29417 37873 79189 154759 323587 400327 871079 3559457 4403597 9207521 48439567 101282731 1114110041