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11103140000 = 25541733209
BaseRepresentation
bin10100101011100110…
…00111100010100000
31001122210111221201102
422111303013202200
5140214400440000
65033430453532
7542101063361
oct122563074240
931583457642
1011103140000
114788484467
12219a5042a8
13107c3ca434
1477487bb68
1544eb643d5
hex295cc78a0

11103140000 has 120 divisors (see below), whose sum is σ = 27481843620. Its totient is φ = 4414208000.

The previous prime is 11103139981. The next prime is 11103140093. The reversal of 11103140000 is 4130111.

It can be written as a sum of positive squares in 10 ways, for example, as 1567504 + 11101572496 = 1252^2 + 105364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3458396 + ... + 3461604.

Almost surely, 211103140000 is an apocalyptic number.

11103140000 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 11103140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740921810).

11103140000 is an abundant number, since it is smaller than the sum of its proper divisors (16378703620).

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

11103140000 is an equidigital number, since it uses as much as digits as its factorization.

11103140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11103140000 its reverse (4130111), we get a palindrome (11107270111).

The spelling of 11103140000 in words is "eleven billion, one hundred three million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 346 400 500 625 692 800 865 1000 1250 1384 1730 2000 2500 2768 3209 3460 4000 4325 5000 5536 6418 6920 8650 10000 12836 13840 16045 17300 20000 21625 25672 27680 32090 34600 43250 51344 64180 69200 80225 86500 102688 108125 128360 138400 160450 173000 216250 256720 320900 346000 401125 432500 513440 555157 641800 692000 802250 865000 1110314 1283600 1604500 1730000 2005625 2220628 2567200 2775785 3209000 3460000 4011250 4441256 5551570 6418000 8022500 8882512 11103140 12836000 13878925 16045000 17765024 22206280 27757850 32090000 44412560 55515700 64180000 69394625 88825120 111031400 138789250 222062800 277578500 346973125 444125600 555157000 693946250 1110314000 1387892500 2220628000 2775785000 5551570000 11103140000