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1109017780 = 2251317833023
BaseRepresentation
bin100001000011010…
…0100010010110100
32212021210221101121
41002012210102310
54232402032110
6302014033324
736324331663
oct10206442264
92767727347
101109017780
1151a014522
1226b4a8844
131489ba450
14a7408dda
1567567cda
hex421a44b4

1109017780 has 96 divisors (see below), whose sum is σ = 2688505344. Its totient is φ = 380626944.

The previous prime is 1109017771. The next prime is 1109017801. The reversal of 1109017780 is 877109011.

It is a super-2 number, since 2×11090177802 = 2459840872712256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365349 + ... + 368371.

It is an arithmetic number, because the mean of its divisors is an integer number (28005264).

Almost surely, 21109017780 is an apocalyptic number.

1109017780 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 1109017780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344252672).

1109017780 is an abundant number, since it is smaller than the sum of its proper divisors (1579487564).

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

1109017780 is a wasteful number, since it uses less digits than its factorization.

1109017780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 34.

The square root of 1109017780 is about 33301.9185633501. The cubic root of 1109017780 is about 1035.0933130957.

The spelling of 1109017780 in words is "one billion, one hundred nine million, seventeen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 83 85 130 166 170 221 260 332 340 415 442 830 884 1079 1105 1411 1660 2158 2210 2822 3023 4316 4420 5395 5644 6046 7055 10790 12092 14110 15115 18343 21580 28220 30230 36686 39299 51391 60460 73372 78598 91715 102782 157196 183430 196495 205564 250909 256955 366860 392990 501818 513910 668083 785980 1003636 1027820 1254545 1336166 2509090 2672332 3261817 3340415 4265453 5018180 6523634 6680830 8530906 13047268 13361660 16309085 17061812 21327265 32618170 42654530 55450889 65236340 85309060 110901778 221803556 277254445 554508890 1109017780