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1103340301040 = 245197166115467
BaseRepresentation
bin10000000011100100001…
…101001110101011110000
310220110220200102122100002
4100003210031032223300
5121034120104113130
62202511215445132
7142466541550355
oct20034415165360
93813820378302
101103340301040
11395a1892166a
12159a025267a8
1380076b2b173
143b58ad7462c
151da78d64b45
hex100e434eaf0

1103340301040 has 160 divisors (see below), whose sum is σ = 2742632317440. Its totient is φ = 411568819200.

The previous prime is 1103340301031. The next prime is 1103340301073. The reversal of 1103340301040 is 401030433011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71327387 + ... + 71342853.

It is an arithmetic number, because the mean of its divisors is an integer number (17141451984).

Almost surely, 21103340301040 is an apocalyptic number.

1103340301040 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 1103340301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371316158720).

1103340301040 is an abundant number, since it is smaller than the sum of its proper divisors (1639292016400).

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

1103340301040 is a wasteful number, since it uses less digits than its factorization.

1103340301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16231 (or 16225 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1103340301040 its reverse (401030433011), we get a palindrome (1504370734051).

The spelling of 1103340301040 in words is "one trillion, one hundred three billion, three hundred forty million, three hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 71 76 80 95 142 152 190 284 304 355 380 568 661 710 760 1136 1322 1349 1420 1520 2644 2698 2840 3305 5288 5396 5680 6610 6745 10576 10792 12559 13220 13490 15467 21584 25118 26440 26980 30934 46931 50236 52880 53960 61868 62795 77335 93862 100472 107920 123736 125590 154670 187724 200944 234655 247472 251180 293873 309340 375448 469310 502360 587746 618680 750896 891689 938620 1004720 1098157 1175492 1237360 1469365 1783378 1877240 2196314 2350984 2938730 3566756 3754480 4392628 4458445 4701968 5490785 5877460 7133512 8785256 8916890 10223687 10981570 11754920 14267024 17570512 17833780 20447374 20864983 21963140 23509840 35667560 40894748 41729966 43926280 51118435 71335120 81789496 83459932 87852560 102236870 104324915 163578992 166919864 194250053 204473740 208649830 333839728 388500106 408947480 417299660 725881777 777000212 817894960 834599320 971250265 1451763554 1554000424 1669198640 1942500530 2903527108 3108000848 3629408885 3885001060 5807054216 7258817770 7770002120 11614108432 13791753763 14517635540 15540004240 27583507526 29035271080 55167015052 58070542160 68958768815 110334030104 137917537630 220668060208 275835075260 551670150520 1103340301040