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1141111020 = 223572388133
BaseRepresentation
bin100010000000011…
…1111100011101100
32221112012110001010
41010000333203230
54314111023040
6305121545220
740164166200
oct10400774354
92845173033
101141111020
11536144665
1227a1a5210
1315254612a
14ab7a0b00
156a2a6e80
hex4403f8ec

1141111020 has 72 divisors (see below), whose sum is σ = 3716771184. Its totient is φ = 260824704.

The previous prime is 1141110989. The next prime is 1141111021. The reversal of 1141111020 is 201111411.

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 = 1141110987 and 1141111005.

It is not an unprimeable number, because it can be changed into a prime (1141111021) 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, 191127 + ... + 197006.

It is an arithmetic number, because the mean of its divisors is an integer number (51621822).

Almost surely, 21141111020 is an apocalyptic number.

1141111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141111020 is an abundant number, since it is smaller than the sum of its proper divisors (2575660164).

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

1141111020 is a wasteful number, since it uses less digits than its factorization.

1141111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388159 (or 388150 counting only the distinct ones).

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

The square root of 1141111020 is about 33780.3348118399. The cubic root of 1141111020 is about 1044.9831792963.

Adding to 1141111020 its reverse (201111411), we get a palindrome (1342222431).

The spelling of 1141111020 in words is "one billion, one hundred forty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 388133 776266 1164399 1552532 1940665 2328798 2716931 3881330 4657596 5433862 5821995 7762660 8150793 10867724 11643990 13584655 16301586 19018517 23287980 27169310 32603172 38037034 40753965 54338620 57055551 76074068 81507930 95092585 114111102 163015860 190185170 228222204 285277755 380370340 570555510 1141111020