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1143130120 = 2351129101887
BaseRepresentation
bin100010000100010…
…1100100000001000
32221200000000201121
41010020230200020
54320120130440
6305233125024
740220305606
oct10410544010
92850000647
101143130120
115372a3640
1227a9b9774
13152aa2172
14abb68876
156a55534a
hex4422c808

1143130120 has 128 divisors (see below), whose sum is σ = 2934662400. Its totient is φ = 396928000.

The previous prime is 1143130111. The next prime is 1143130123. The reversal of 1143130120 is 210313411.

It is a junction number, because it is equal to n+sod(n) for n = 1143130094 and 1143130103.

It is not an unprimeable number, because it can be changed into a prime (1143130123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288317 + ... + 1289203.

It is an arithmetic number, because the mean of its divisors is an integer number (22927050).

Almost surely, 21143130120 is an apocalyptic number.

1143130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467331200).

1143130120 is an abundant number, since it is smaller than the sum of its proper divisors (1791532280).

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

1143130120 is a wasteful number, since it uses less digits than its factorization.

1143130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1143130120 is about 33810.2073344722. The cubic root of 1143130120 is about 1045.5991527575.

Adding to 1143130120 its reverse (210313411), we get a palindrome (1353443531).

The spelling of 1143130120 in words is "one billion, one hundred forty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 101 110 116 145 202 220 232 290 319 404 440 505 580 638 808 887 1010 1111 1160 1276 1595 1774 2020 2222 2552 2929 3190 3548 4040 4435 4444 5555 5858 6380 7096 8870 8888 9757 11110 11716 12760 14645 17740 19514 22220 23432 25723 29290 32219 35480 39028 44440 48785 51446 58580 64438 78056 89587 97570 102892 117160 128615 128876 161095 179174 195140 205784 257230 257752 282953 322190 358348 390280 447935 514460 565906 644380 716696 895870 985457 1028920 1131812 1288760 1414765 1791740 1970914 2263624 2598023 2829530 3583480 3941828 4927285 5196046 5659060 7883656 9854570 10392092 11318120 12990115 19709140 20784184 25980230 28578253 39418280 51960460 57156506 103920920 114313012 142891265 228626024 285782530 571565060 1143130120