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11120203120 = 24513293071201
BaseRepresentation
bin10100101101101000…
…01101010101110000
31001200222121211220211
422112310031111300
5140233232444440
65035240313504
7542366111155
oct122664152560
931628554824
1011120203120
114797079214
1221a4172894
131082ac2b60
14776c4022c
154513d4eea
hex296d0d570

11120203120 has 160 divisors (see below), whose sum is σ = 28921273920. Its totient is φ = 3948134400.

The previous prime is 11120203103. The next prime is 11120203151. The reversal of 11120203120 is 2130202111.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11120203120.

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, 9258520 + ... + 9259720.

It is an arithmetic number, because the mean of its divisors is an integer number (180757962).

Almost surely, 211120203120 is an apocalyptic number.

11120203120 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 11120203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14460636960).

11120203120 is an abundant number, since it is smaller than the sum of its proper divisors (17801070800).

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

11120203120 is a wasteful number, since it uses less digits than its factorization.

11120203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11120203120 its reverse (2130202111), we get a palindrome (13250405231).

The spelling of 11120203120 in words is "eleven billion, one hundred twenty million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 307 377 464 520 580 614 754 1040 1160 1201 1228 1508 1535 1885 2320 2402 2456 3016 3070 3770 3991 4804 4912 6005 6032 6140 7540 7982 8903 9608 12010 12280 15080 15613 15964 17806 19216 19955 24020 24560 30160 31226 31928 34829 35612 39910 44515 48040 62452 63856 69658 71224 78065 79820 89030 96080 115739 124904 139316 142448 156130 159640 174145 178060 231478 249808 278632 312260 319280 348290 356120 368707 452777 462956 557264 578695 624520 696580 712240 737414 905554 925912 1157390 1249040 1393160 1474828 1811108 1843535 1851824 2263885 2314780 2786320 2949656 3622216 3687070 4527770 4629560 4793191 5899312 7244432 7374140 9055540 9259120 9586382 10692503 14748280 18111080 19172764 21385006 23965955 29496560 36222160 38345528 42770012 47931910 53462515 76691056 85540024 95863820 106925030 139002539 171080048 191727640 213850060 278005078 383455280 427700120 556010156 695012695 855400240 1112020312 1390025390 2224040624 2780050780 5560101560 11120203120