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110313221312 = 2671013596791
BaseRepresentation
bin110011010111100101…
…1100010110011000000
3101112201220210021020102
41212233023202303000
53301410141040222
6122402135101532
710653443624060
oct1465713426300
9345656707212
10110313221312
1142868a349a8
12194678118a8
13a530376868
1454a6a393a0
152d09868d92
hex19af2e2cc0

110313221312 has 112 divisors (see below), whose sum is σ = 253392675840. Its totient is φ = 46671744000.

The previous prime is 110313221311. The next prime is 110313221351. The reversal of 110313221312 is 213122313011.

It is a happy number.

110313221312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (110313221311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16240637 + ... + 16247427.

Almost surely, 2110313221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110313221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126696337920).

110313221312 is an abundant number, since it is smaller than the sum of its proper divisors (143079454528).

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

110313221312 is a wasteful number, since it uses less digits than its factorization.

110313221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 110313221312 its reverse (213122313011), we get a palindrome (323435534323).

The spelling of 110313221312 in words is "one hundred ten billion, three hundred thirteen million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 224 359 404 448 707 718 808 1414 1436 1616 2513 2828 2872 3232 5026 5656 5744 6464 6791 10052 11312 11488 13582 20104 22624 22976 27164 36259 40208 45248 47537 54328 72518 80416 95074 108656 145036 160832 190148 217312 253813 290072 380296 434624 507626 580144 685891 760592 1015252 1160288 1371782 1521184 2030504 2320576 2437969 2743564 3042368 4061008 4801237 4875938 5487128 8122016 9602474 9751876 10974256 16244032 17065783 19204948 19503752 21948512 34131566 38409896 39007504 43897024 68263132 76819792 78015008 136526264 153639584 156030016 246234869 273052528 307279168 492469738 546105056 984939476 1092210112 1723644083 1969878952 3447288166 3939757904 6894576332 7879515808 13789152664 15759031616 27578305328 55156610656 110313221312