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1114011120 = 24354641713
BaseRepresentation
bin100001001100110…
…0111010111110000
32212122012121222010
41002121213113300
54240141323440
6302313042520
736414636555
oct10231472760
92778177863
101114011120
11521915052
122710b6440
13149a481a1
14a7d48a2c
1567c02580
hex426675f0

1114011120 has 40 divisors (see below), whose sum is σ = 3453435216. Its totient is φ = 297069568.

The previous prime is 1114011103. The next prime is 1114011121. The reversal of 1114011120 is 211104111.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1114011096 and 1114011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114011121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2320617 + ... + 2321096.

Almost surely, 21114011120 is an apocalyptic number.

1114011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114011120 is an abundant number, since it is smaller than the sum of its proper divisors (2339424096).

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

1114011120 is a wasteful number, since it uses less digits than its factorization.

1114011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641729 (or 4641723 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1114011120 is about 33376.8051197235. The cubic root of 1114011120 is about 1036.6444860152.

Adding to 1114011120 its reverse (211104111), we get a palindrome (1325115231).

The spelling of 1114011120 in words is "one billion, one hundred fourteen million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4641713 9283426 13925139 18566852 23208565 27850278 37133704 46417130 55700556 69625695 74267408 92834260 111401112 139251390 185668520 222802224 278502780 371337040 557005560 1114011120