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2023013330000 = 24541315561641
BaseRepresentation
bin11101011100000100111…
…111011010110001010000
321011101202021111010212122
4131130010333122301100
5231121112403030000
64145205352313412
7266105104403435
oct35340477326120
97141667433778
102023013330000
1170aa56315283
122880a70a2868
13118a0030c9c0
146dcb304bb8c
1537953572085
hex1d704fdac50

2023013330000 has 100 divisors (see below), whose sum is σ = 5274680802468. Its totient is φ = 746958720000.

The previous prime is 2023013329993. The next prime is 2023013330021. The reversal of 2023013330000 is 333103202.

It can be written as a sum of positive squares in 10 ways, for example, as 1809972003904 + 213041326096 = 1345352^2 + 461564^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7650821 + ... + 7910820.

Almost surely, 22023013330000 is an apocalyptic number.

2023013330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023013330000 is an abundant number, since it is smaller than the sum of its proper divisors (3251667472468).

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

2023013330000 is a wasteful number, since it uses less digits than its factorization.

2023013330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15561682 (or 15561661 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 2023013330000 its reverse (333103202), we get a palindrome (2023346433202).

The spelling of 2023013330000 in words is "two trillion, twenty-three billion, thirteen million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 15561641 31123282 62246564 77808205 124493128 155616410 202301333 248986256 311232820 389041025 404602666 622465640 778082050 809205332 1011506665 1244931280 1556164100 1618410664 1945205125 2023013330 3112328200 3236821328 3890410250 4046026660 5057533325 6224656400 7780820500 8092053320 9726025625 10115066650 15561641000 16184106640 19452051250 20230133300 25287666625 31123282000 38904102500 40460266600 50575333250 77808205000 80920533200 101150666500 126438333125 155616410000 202301333000 252876666250 404602666000 505753332500 1011506665000 2023013330000