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11142411320 = 23517293491619
BaseRepresentation
bin10100110000010001…
…11011010000111000
31001202112102010211202
422120020323100320
5140304424130240
65041352313332
7543055635125
oct123010732070
931675363752
1011142411320
1147a86675a7
1221ab6a2848
13108759a3c1
14779b8174c
15453320315
hex29823b438

11142411320 has 128 divisors (see below), whose sum is σ = 27556200000. Its totient is φ = 4036042752.

The previous prime is 11142411271. The next prime is 11142411331. The reversal of 11142411320 is 2311424111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11142411292 and 11142411301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6881471 + ... + 6883089.

Almost surely, 211142411320 is an apocalyptic number.

11142411320 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 11142411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778100000).

11142411320 is an abundant number, since it is smaller than the sum of its proper divisors (16413788680).

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

11142411320 is a wasteful number, since it uses less digits than its factorization.

11142411320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11142411320 its reverse (2311424111), we get a palindrome (13453835431).

The spelling of 11142411320 in words is "eleven billion, one hundred forty-two million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 349 493 580 680 698 986 1160 1396 1619 1745 1972 2465 2792 3238 3490 3944 4930 5933 6476 6980 8095 9860 10121 11866 12952 13960 16190 19720 20242 23732 27523 29665 32380 40484 46951 47464 50605 55046 59330 64760 80968 93902 101210 110092 118660 137615 172057 187804 202420 220184 234755 237320 275230 344114 375608 404840 469510 550460 565031 688228 798167 860285 939020 1100920 1130062 1376456 1596334 1720570 1878040 2260124 2825155 3192668 3441140 3990835 4520248 5650310 6385336 6882280 7981670 9605527 11300620 15963340 16385899 19211054 22601240 31926680 32771798 38422108 48027635 65543596 76844216 81929495 96055270 131087192 163858990 192110540 278560283 327717980 384221080 557120566 655435960 1114241132 1392801415 2228482264 2785602830 5571205660 11142411320