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1100410000320 = 26354326657219
BaseRepresentation
bin10000000000110101100…
…011000001001111000000
310220012100110112221102210
4100000311203001033000
5121012114430002240
62201304341142120
7142334120446521
oct20006543011700
93805313487383
101100410000320
11394754837334
121593250ba940
137c9caa0b607
143b38db12848
151d95698c780
hex100358c13c0

1100410000320 has 112 divisors (see below), whose sum is σ = 3575053088640. Its totient is φ = 286618407936.

The previous prime is 1100410000309. The next prime is 1100410000367. The reversal of 1100410000320 is 230000140011.

It is a happy number.

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 = 1100410000296 and 1100410000305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13287330 + ... + 13369889.

Almost surely, 21100410000320 is an apocalyptic number.

1100410000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100410000320 is an abundant number, since it is smaller than the sum of its proper divisors (2474643088320).

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

1100410000320 is a wasteful number, since it uses less digits than its factorization.

1100410000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26657282 (or 26657272 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1100410000320 its reverse (230000140011), we get a palindrome (1330410140331).

The spelling of 1100410000320 in words is "one trillion, one hundred billion, four hundred ten million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2752 3440 4128 5160 6880 8256 10320 13760 20640 41280 26657219 53314438 79971657 106628876 133286095 159943314 213257752 266572190 319886628 399858285 426515504 533144380 639773256 799716570 853031008 1066288760 1146260417 1279546512 1599433140 1706062016 2132577520 2292520834 2559093024 3198866280 3438781251 4265155040 4585041668 5118186048 5731302085 6397732560 6877562502 8530310080 9170083336 11462604170 12795465120 13755125004 17193906255 18340166672 22925208340 25590930240 27510250008 34387812510 36680333344 45850416680 55020500016 68775625020 73360666688 91700833360 110041000032 137551250040 183401666720 220082000064 275102500080 366803333440 550205000160 1100410000320