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11120031120 = 24351114592887
BaseRepresentation
bin10100101101100111…
…00011010110010000
31001200222022002222110
422112303203112100
5140233211443440
65035232505320
7542364463542
oct122663432620
931628262873
1011120031120
114796a70a70
1221a40ab240
131082a62793
14776bd7692
1545139e080
hex296ce3590

11120031120 has 160 divisors (see below), whose sum is σ = 37644733440. Its totient is φ = 2692984320.

The previous prime is 11120031119. The next prime is 11120031137. The reversal of 11120031120 is 2113002111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11120031096 and 11120031105.

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, 3850317 + ... + 3853203.

It is an arithmetic number, because the mean of its divisors is an integer number (235279584).

Almost surely, 211120031120 is an apocalyptic number.

11120031120 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 11120031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18822366720).

11120031120 is an abundant number, since it is smaller than the sum of its proper divisors (26524702320).

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

11120031120 is a wasteful number, since it uses less digits than its factorization.

11120031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11120031120 its reverse (2113002111), we get a palindrome (13233033231).

The spelling of 11120031120 in words is "eleven billion, one hundred twenty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1459 2640 2887 2918 4377 5774 5836 7295 8661 8754 11548 11672 14435 14590 16049 17322 17508 21885 23096 23344 28870 29180 31757 32098 34644 35016 43305 43770 46192 48147 57740 58360 63514 64196 69288 70032 80245 86610 87540 95271 96294 115480 116720 127028 128392 138576 158785 160490 173220 175080 190542 192588 230960 240735 254056 256784 317570 320980 346440 350160 381084 385176 476355 481470 508112 635140 641960 692880 762168 770352 952710 962940 1270280 1283920 1524336 1905420 1925880 2540560 3810840 3851760 4212133 7621680 8424266 12636399 16848532 21060665 25272798 33697064 42121330 46333463 50545596 63181995 67394128 84242660 92666926 101091192 126363990 139000389 168485320 185333852 202182384 231667315 252727980 278000778 336970640 370667704 463334630 505455960 556001556 695001945 741335408 926669260 1010911920 1112003112 1390003890 1853338520 2224006224 2780007780 3706677040 5560015560 11120031120