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114321334002020 = 22517294993208213
BaseRepresentation
bin11001111111100110000010…
…100000001110000101100100
3112222210000100022212002210022
4121333212002200032011210
5104441020043001031040
61043050255032414312
733036305141500055
oct3177460240160544
9488700308762708
10114321334002020
1133476450769592
12109a42a7547398
134ba35bca84b12
14203327991a72c
15d33b60ca26b5
hex67f98280e164

114321334002020 has 72 divisors (see below), whose sum is σ = 255031466752104. Its totient is φ = 43037960085504.

The previous prime is 114321334001971. The next prime is 114321334002097. The reversal of 114321334002020 is 20200433123411.

It can be written as a sum of positive squares in 12 ways, for example, as 19969601437696 + 94351732564324 = 4468736^2 + 9713482^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548955434 + ... + 549163646.

Almost surely, 2114321334002020 is an apocalyptic number.

114321334002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114321334002020 is an abundant number, since it is smaller than the sum of its proper divisors (140710132750084).

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

114321334002020 is a wasteful number, since it uses less digits than its factorization.

114321334002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303249 (or 303230 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 114321334002020 its reverse (20200433123411), we get a palindrome (134521767125431).

The spelling of 114321334002020 in words is "one hundred fourteen trillion, three hundred twenty-one billion, three hundred thirty-four million, two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 94993 189986 208213 379972 416426 474965 832852 949930 1041065 1614881 1899860 2082130 3229762 3539621 4164260 6459524 7079242 8074405 14158484 16148810 17698105 27452977 32297620 35396210 54905954 60173557 70792420 109811908 120347114 137264885 240694228 274529770 300867785 549059540 601735570 1203471140 19778777509 39557555018 79115110036 98893887545 197787775090 336239217653 395575550180 672478435306 1344956870612 1681196088265 3362392176530 5716066700101 6724784353060 11432133400202 22864266800404 28580333500505 57160667001010 114321334002020