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110030311300 = 225271320635861
BaseRepresentation
bin110011001111001010…
…0010100111110000100
3101112000012102221122211
41212132110110332010
53300320224430200
6122314111233204
710643440133410
oct1463624247604
9345005387584
10110030311300
1142733273478
12193a8b18804
13a4b68807a0
14547b233d40
152cdead3aba
hex199e514f84

110030311300 has 144 divisors (see below), whose sum is σ = 294058179072. Its totient is φ = 34799961600.

The previous prime is 110030311241. The next prime is 110030311381. The reversal of 110030311300 is 3113030011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 18770370 + ... + 18776230.

It is an arithmetic number, because the mean of its divisors is an integer number (2042070688).

Almost surely, 2110030311300 is an apocalyptic number.

110030311300 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 110030311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147029089536).

110030311300 is an abundant number, since it is smaller than the sum of its proper divisors (184027867772).

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

110030311300 is a wasteful number, since it uses less digits than its factorization.

110030311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7958 (or 7951 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 110030311300 its reverse (3113030011), we get a palindrome (113143341311).

The spelling of 110030311300 in words is "one hundred ten billion, thirty million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2063 2275 4126 4550 5861 8252 9100 10315 11722 14441 20630 23444 26819 28882 29305 41027 41260 51575 53638 57764 58610 72205 76193 82054 103150 107276 117220 134095 144410 146525 152386 164108 187733 205135 206300 268190 288820 293050 304772 361025 375466 380965 410270 533351 536380 586100 670475 722050 750932 761930 820540 938665 1025675 1066702 1340950 1444100 1523860 1877330 1904825 2051350 2133404 2666755 2681900 3754660 3809650 4102700 4693325 5333510 7619300 9386650 10667020 12091243 13333775 18773300 24182486 26667550 48364972 53335100 60456215 84638701 120912430 157186159 169277402 241824860 302281075 314372318 338554804 423193505 604562150 628744636 785930795 846387010 1100303113 1209124300 1571861590 1692774020 2115967525 2200606226 3143723180 3929653975 4231935050 4401212452 5501515565 7859307950 8463870100 11003031130 15718615900 22006062260 27507577825 55015155650 110030311300