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1103030300320 = 2551389266949
BaseRepresentation
bin10000000011010001101…
…110101010111010100000
310220110010002002222021221
4100003101232222322200
5121033001224102240
62202420343224424
7142456055566234
oct20032156527240
93813102088257
101103030300320
11395879937523
12159936748114
138002783b3a0
143b55bb1a5c4
151da5ba2ca4a
hex100d1baaea0

1103030300320 has 144 divisors (see below), whose sum is σ = 2838292493400. Its totient is φ = 402690613248.

The previous prime is 1103030300293. The next prime is 1103030300341. The reversal of 1103030300320 is 230030303011.

It can be written as a sum of positive squares in 12 ways, for example, as 5572921104 + 1097457379216 = 74652^2 + 1047596^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1103030300294 and 1103030300303.

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 23 ways as a sum of consecutive naturals, for example, 16442206 + ... + 16509154.

Almost surely, 21103030300320 is an apocalyptic number.

1103030300320 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 1103030300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419146246700).

1103030300320 is an abundant number, since it is smaller than the sum of its proper divisors (1735262193080).

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

1103030300320 is an equidigital number, since it uses as much as digits as its factorization.

1103030300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67155 (or 67058 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 1103030300320 its reverse (230030303011), we get a palindrome (1333060603331).

The spelling of 1103030300320 in words is "one trillion, one hundred three billion, thirty million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 89 104 130 160 178 208 260 356 416 445 520 712 890 1040 1157 1424 1780 2080 2314 2848 3560 4628 5785 7120 7921 9256 11570 14240 15842 18512 23140 31684 37024 39605 46280 63368 66949 79210 92560 102973 126736 133898 158420 185120 205946 253472 267796 316840 334745 411892 514865 535592 633680 669490 823784 870337 1029730 1071184 1267360 1338980 1647568 1740674 2059460 2142368 2677960 3295136 3481348 4118920 4351685 5355920 5958461 6962696 8237840 8703370 10711840 11916922 13925392 16475680 17406740 23833844 27850784 29792305 34813480 47667688 59584610 69626960 77459993 95335376 119169220 139253920 154919986 190670752 238338440 309839972 387299965 476676880 530303029 619679944 774599930 953353760 1060606058 1239359888 1549199860 2121212116 2478719776 2651515145 3098399720 4242424232 5303030290 6196799440 6893939377 8484848464 10606060580 12393598880 13787878754 16969696928 21212121160 27575757508 34469696885 42424242320 55151515016 68939393770 84848484640 110303030032 137878787540 220606060064 275757575080 551515150160 1103030300320