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1112066900 = 2252717113827
BaseRepresentation
bin100001001001000…
…1100101101010100
32212111112211222222
41002102030231110
54234142120100
6302203241512
736362261360
oct10222145524
92774484888
101112066900
1152080735a
12270519298
13149517269
14a79a02a0
156796b485
hex4248cb54

1112066900 has 144 divisors (see below), whose sum is σ = 2949561216. Its totient is φ = 355246080.

The previous prime is 1112066897. The next prime is 1112066933. The reversal of 1112066900 is 96602111.

It is a super-2 number, since 2×11120669002 = 2473385580151220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1112066900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344287 + ... + 1345113.

It is an arithmetic number, because the mean of its divisors is an integer number (20483064).

Almost surely, 21112066900 is an apocalyptic number.

1112066900 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 1112066900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474780608).

1112066900 is an abundant number, since it is smaller than the sum of its proper divisors (1837494316).

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

1112066900 is a wasteful number, since it uses less digits than its factorization.

1112066900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 1112066900 is about 33347.6670848202. The cubic root of 1112066900 is about 1036.0410693657.

The spelling of 1112066900 in words is "one billion, one hundred twelve million, sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 113 119 140 170 175 226 238 340 350 425 452 476 565 595 700 791 827 850 1130 1190 1582 1654 1700 1921 2260 2380 2825 2975 3164 3308 3842 3955 4135 5650 5789 5950 7684 7910 8270 9605 11300 11578 11900 13447 14059 15820 16540 19210 19775 20675 23156 26894 28118 28945 38420 39550 41350 48025 53788 56236 57890 67235 70295 79100 82700 93451 96050 98413 115780 134470 140590 144725 186902 192100 196826 268940 281180 289450 336175 351475 373804 393652 467255 492065 578900 654157 672350 702950 934510 984130 1308314 1344700 1405900 1588667 1869020 1968260 2336275 2460325 2616628 3177334 3270785 4672550 4920650 6354668 6541570 7943335 9345100 9841300 11120669 13083140 15886670 16353925 22241338 31773340 32707850 39716675 44482676 55603345 65415700 79433350 111206690 158866700 222413380 278016725 556033450 1112066900