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1104135860300 = 2252111971744077
BaseRepresentation
bin10000000100010011101…
…000000011000001001100
310220112222010102020110212
4100010103220003001030
5121042232240012200
62203122155221552
7142525341650204
oct20042350030114
93815863366425
101104135860300
113962969aa060
12159ba4a478b8
13801728b79a5
143b6248a5404
151dac3b11035
hex10113a0304c

1104135860300 has 144 divisors (see below), whose sum is σ = 2790113921280. Its totient is φ = 375014304000.

The previous prime is 1104135860299. The next prime is 1104135860323. The reversal of 1104135860300 is 30685314011.

It is a super-2 number, since 2×11041358603002 (a number of 25 digits) contains 22 as substring.

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, 1111862 + ... + 1855938.

It is an arithmetic number, because the mean of its divisors is an integer number (19375791120).

Almost surely, 21104135860300 is an apocalyptic number.

1104135860300 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 1104135860300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395056960640).

1104135860300 is an abundant number, since it is smaller than the sum of its proper divisors (1685978060980).

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

1104135860300 is a wasteful number, since it uses less digits than its factorization.

1104135860300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744192 (or 744185 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 1104135860300 in words is "one trillion, one hundred four billion, one hundred thirty-five million, eight hundred sixty thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 71 76 95 100 110 142 190 209 220 275 284 355 380 418 475 550 710 781 836 950 1045 1100 1349 1420 1562 1775 1900 2090 2698 3124 3550 3905 4180 5225 5396 6745 7100 7810 10450 13490 14839 15620 19525 20900 26980 29678 33725 39050 59356 67450 74195 78100 134900 148390 296780 370975 741950 744077 1483900 1488154 2976308 3720385 7440770 8184847 14137463 14881540 16369694 18601925 28274926 32739388 37203850 40924235 52829467 56549852 70687315 74407700 81848470 105658934 141374630 155512093 163696940 204621175 211317868 264147335 282749260 311024186 353436575 409242350 528294670 581124137 622048372 706873150 777560465 818484700 1003759873 1056589340 1162248274 1320736675 1413746300 1555120930 2007519746 2324496548 2641473350 2905620685 3110241860 3887802325 4015039492 5018799365 5282946700 5811241370 7775604650 10037598730 11041358603 11622482740 14528103425 15551209300 20075197460 22082717206 25093996825 29056206850 44165434412 50187993650 55206793015 58112413700 100375987300 110413586030 220827172060 276033965075 552067930150 1104135860300