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1118114010 = 233513461691
BaseRepresentation
bin100001010100101…
…0001000011011010
32212220221002002000
41002221101003122
54242214122020
6302541021430
736464545416
oct10251210332
92786832060
101118114010
11524167672
12272554876
1314a853830
14a86d5d46
1568263090
hex42a510da

1118114010 has 128 divisors (see below), whose sum is σ = 3222616320. Its totient is φ = 274233600.

The previous prime is 1118114009. The next prime is 1118114017. The reversal of 1118114010 is 104118111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1118114017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1617765 + ... + 1618455.

It is an arithmetic number, because the mean of its divisors is an integer number (25176690).

Almost surely, 21118114010 is an apocalyptic number.

1118114010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1118114010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611308160).

1118114010 is an abundant number, since it is smaller than the sum of its proper divisors (2104502310).

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

1118114010 is a wasteful number, since it uses less digits than its factorization.

1118114010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The square root of 1118114010 is about 33438.2118241990. The cubic root of 1118114010 is about 1037.9155766815.

The spelling of 1118114010 in words is "one billion, one hundred eighteen million, one hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 461 585 691 702 922 1170 1382 1383 1755 2073 2305 2766 3455 3510 4146 4149 4610 5993 6219 6910 6915 8298 8983 10365 11986 12438 12447 13830 17966 17979 18657 20730 20745 24894 26949 29965 31095 35958 37314 41490 44915 53898 53937 59930 62190 62235 80847 89830 89895 93285 107874 124470 134745 161694 161811 179790 186570 242541 269490 269685 318551 323622 404235 485082 539370 637102 808470 809055 955653 1212705 1592755 1618110 1911306 2425410 2866959 3185510 4141163 4778265 5733918 8282326 8600877 9556530 12423489 14334795 17201754 20705815 24846978 28669590 37270467 41411630 43004385 62117445 74540934 86008770 111811401 124234890 186352335 223622802 372704670 559057005 1118114010