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10023053303142 = 23211199739273569
BaseRepresentation
bin1001000111011010110010…
…0010000001110101100110
31022111012020211002101120200
42101312230202001311212
52303204203121200032
633152305505211330
72053066414236525
oct221665442016546
938435224071520
1010023053303142
11321483131a970
12115a650330b46
1357922928b3b9
14269192b344bc
15125ac8c8147c
hex91dac881d66

10023053303142 has 96 divisors (see below), whose sum is σ = 24940392048000. Its totient is φ = 2877125598720.

The previous prime is 10023053303119. The next prime is 10023053303147. The reversal of 10023053303142 is 24130335032001.

10023053303142 is a `hidden beast` number, since 10 + 0 + 2 + 3 + 0 + 5 + 330 + 314 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023053303147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36501334 + ... + 36774902.

It is an arithmetic number, because the mean of its divisors is an integer number (259795750500).

Almost surely, 210023053303142 is an apocalyptic number.

10023053303142 is an abundant number, since it is smaller than the sum of its proper divisors (14917338744858).

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

10023053303142 is a wasteful number, since it uses less digits than its factorization.

10023053303142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283346 (or 283343 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 10023053303142 its reverse (24130335032001), we get a palindrome (34153388335143).

The spelling of 10023053303142 in words is "ten trillion, twenty-three billion, fifty-three million, three hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 9739 19478 29217 58434 87651 107129 175302 185041 214258 273569 321387 370082 547138 555123 642774 820707 964161 1110246 1641414 1665369 1928322 2035451 2462121 3009259 3330738 4070902 4924242 5197811 6018518 6106353 9027777 10395622 12212706 15593433 18055554 18319059 27083331 31186866 36638118 46780299 54166662 57175921 93560598 114351842 171527763 343055526 514583289 1029166578 2664288491 5328576982 7992865473 15985730946 23978596419 29307173401 47957192838 50621481329 58614346802 87921520203 101242962658 151864443987 175843040406 263764560609 303728887974 455593331961 527529121218 556836294619 911186663922 1113672589238 1670508883857 3341017767714 5011526651571 10023053303142