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111141411240 = 23351950396911
BaseRepresentation
bin110011110000010001…
…0110101100110101000
3101121212122011200020110
41213200202311212220
53310104200124430
6123020242054320
711013121260006
oct1474042654650
9347778150213
10111141411240
114315347a292
121965904a3a0
13a632b19882
145544a21a76
152d5740d7b0
hex19e08b59a8

111141411240 has 128 divisors (see below), whose sum is σ = 351674265600. Its totient is φ = 28021720320.

The previous prime is 111141411229. The next prime is 111141411331. The reversal of 111141411240 is 42114141111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098385 + ... + 1195295.

It is an arithmetic number, because the mean of its divisors is an integer number (2747455200).

Almost surely, 2111141411240 is an apocalyptic number.

111141411240 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 111141411240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175837132800).

111141411240 is an abundant number, since it is smaller than the sum of its proper divisors (240532854360).

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

111141411240 is a wasteful number, since it uses less digits than its factorization.

111141411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97447 (or 97443 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 111141411240 its reverse (42114141111), we get a palindrome (153255552351).

The spelling of 111141411240 in words is "one hundred eleven billion, one hundred forty-one million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 503 570 760 1006 1140 1509 2012 2280 2515 3018 4024 5030 6036 7545 9557 10060 12072 15090 19114 20120 28671 30180 38228 47785 57342 60360 76456 95570 96911 114684 143355 191140 193822 229368 286710 290733 382280 387644 484555 573420 581466 775288 969110 1146840 1162932 1453665 1841309 1938220 2325864 2907330 3682618 3876440 5523927 5814660 7365236 9206545 11047854 11629320 14730472 18413090 22095708 27619635 36826180 44191416 48746233 55239270 73652360 97492466 110478540 146238699 194984932 220957080 243731165 292477398 389969864 487462330 584954796 731193495 926178427 974924660 1169909592 1462386990 1852356854 1949849320 2778535281 2924773980 3704713708 4630892135 5557070562 5849547960 7409427416 9261784270 11114141124 13892676405 18523568540 22228282248 27785352810 37047137080 55570705620 111141411240