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1141110120 = 233510194151
BaseRepresentation
bin100010000000011…
…1111010101101000
32221112012101210210
41010000333111220
54314111010440
6305121541120
740164163443
oct10400772550
92845171723
101141110120
11536143a17
1227a1a47a0
131525458b7
14ab7a065a
156a2a6a80
hex4403f568

1141110120 has 64 divisors (see below), whose sum is σ = 3457261440. Its totient is φ = 301280000.

The previous prime is 1141110119. The next prime is 1141110137. The reversal of 1141110120 is 210111411.

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 = 1141110096 and 1141110105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34956 + ... + 59195.

It is an arithmetic number, because the mean of its divisors is an integer number (54019710).

Almost surely, 21141110120 is an apocalyptic number.

1141110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141110120 is an abundant number, since it is smaller than the sum of its proper divisors (2316151320).

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

1141110120 is a wasteful number, since it uses less digits than its factorization.

1141110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94266 (or 94262 counting only the distinct ones).

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

The square root of 1141110120 is about 33780.3214904773. The cubic root of 1141110120 is about 1044.9829045684.

Adding to 1141110120 its reverse (210111411), we get a palindrome (1351221531).

The spelling of 1141110120 in words is "one billion, one hundred forty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 94151 188302 282453 376604 470755 564906 753208 941510 1129812 1412265 1883020 2259624 2824530 3766040 5649060 9509251 11298120 19018502 28527753 38037004 47546255 57055506 76074008 95092510 114111012 142638765 190185020 228222024 285277530 380370040 570555060 1141110120