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1103303222120 = 2351131569142157
BaseRepresentation
bin10000000011100001111…
…111110010001101101000
310220110211002122211121202
4100003201333302031220
5121034031111101440
62202503413023332
7142465611436511
oct20034177621550
93813732584552
101103303222120
113959a99a6730
121599b2024b48
138006c248088
143b586081a08
151da7598d615
hex100e1ff2368

1103303222120 has 128 divisors (see below), whose sum is σ = 2800398873600. Its totient is φ = 387574118400.

The previous prime is 1103303222093. The next prime is 1103303222159. The reversal of 1103303222120 is 212223033011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1103303222092 and 1103303222101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7690082 + ... + 7832238.

It is an arithmetic number, because the mean of its divisors is an integer number (21878116200).

Almost surely, 21103303222120 is an apocalyptic number.

1103303222120 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 1103303222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400199436800).

1103303222120 is an abundant number, since it is smaller than the sum of its proper divisors (1697095651480).

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

1103303222120 is a wasteful number, since it uses less digits than its factorization.

1103303222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142779 (or 142775 counting only the distinct ones).

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

Adding to 1103303222120 its reverse (212223033011), we get a palindrome (1315526255131).

The spelling of 1103303222120 in words is "one trillion, one hundred three billion, three hundred three million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 569 620 682 1138 1240 1364 1705 2276 2728 2845 3410 4552 5690 6259 6820 11380 12518 13640 17639 22760 25036 31295 35278 50072 62590 70556 88195 125180 141112 142157 176390 194029 250360 284314 352780 388058 568628 705560 710785 776116 970145 1137256 1421570 1552232 1563727 1940290 2843140 3127454 3880580 4406867 5686280 6254908 7761160 7818635 8813734 12509816 15637270 17627468 22034335 31274540 35254936 44068670 48475537 62549080 80887333 88137340 96951074 161774666 176274680 193902148 242377685 323549332 387804296 404436665 484755370 647098664 808873330 889760663 969510740 1617746660 1779521326 1939021480 2507507323 3235493320 3559042652 4448803315 5015014646 7118085304 8897606630 10030029292 12537536615 17795213260 20060058584 25075073230 27582580553 35590426520 50150146460 55165161106 100300292920 110330322212 137912902765 220660644424 275825805530 551651611060 1103303222120