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121143040 = 285314371
BaseRepresentation
bin1110011100001…
…11111100000000
322102221201000021
413032013330000
5222003034130
620004303224
73000461464
oct716077400
9272851007
10121143040
1162422617
12346a1b14
131c137295
14121364a4
15a97e37a
hex7387f00

121143040 has 144 divisors (see below), whose sum is σ = 310818816. Its totient is φ = 45158400.

The previous prime is 121143007. The next prime is 121143049. The reversal of 121143040 is 40341121.

It is a super-3 number, since 3×1211430403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121143049) by changing a digit.

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, 1706205 + ... + 1706275.

It is an arithmetic number, because the mean of its divisors is an integer number (2158464).

Almost surely, 2121143040 is an apocalyptic number.

121143040 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 121143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155409408).

121143040 is an abundant number, since it is smaller than the sum of its proper divisors (189675776).

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

121143040 is an equidigital number, since it uses as much as digits as its factorization.

121143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 121143040 is about 11006.4998977877. The cubic root of 121143040 is about 494.8035679462.

Adding to 121143040 its reverse (40341121), we get a palindrome (161484161).

The spelling of 121143040 in words is "one hundred twenty-one million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 64 71 80 86 124 128 142 155 160 172 215 248 256 284 310 320 344 355 430 496 568 620 640 688 710 860 992 1136 1240 1280 1333 1376 1420 1720 1984 2201 2272 2480 2666 2752 2840 3053 3440 3968 4402 4544 4960 5332 5504 5680 6106 6665 6880 7936 8804 9088 9920 10664 11005 11008 11360 12212 13330 13760 15265 17608 18176 19840 21328 22010 22720 24424 26660 27520 30530 35216 39680 42656 44020 45440 48848 53320 55040 61060 70432 85312 88040 90880 94643 97696 106640 122120 140864 170624 176080 189286 195392 213280 244240 281728 341248 352160 378572 390784 426560 473215 488480 563456 704320 757144 781568 853120 946430 976960 1408640 1514288 1706240 1892860 1953920 2817280 3028576 3785720 3907840 6057152 7571440 12114304 15142880 24228608 30285760 60571520 121143040