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10023140133020 = 2257223637950329
BaseRepresentation
bin1001000111011011000110…
…1101010000100010011100
31022111012110212110210210002
42101312301231100202130
52303204342333224040
633152322250233432
72053101520260050
oct221666155204234
938435425423702
1010023140133020
1132148763364a3
12115a675425878
13579241270421
142691a0497c60
15125ad16d3a15
hex91db1b5089c

10023140133020 has 96 divisors (see below), whose sum is σ = 24167676825600. Its totient is φ = 3420490581504.

The previous prime is 10023140133001. The next prime is 10023140133029. The reversal of 10023140133020 is 2033104132001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10023140132983 and 10023140133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023140133029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199127216 + ... + 199177544.

It is an arithmetic number, because the mean of its divisors is an integer number (251746633600).

Almost surely, 210023140133020 is an apocalyptic number.

10023140133020 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 10023140133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12083838412800).

10023140133020 is an abundant number, since it is smaller than the sum of its proper divisors (14144536692580).

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

10023140133020 is a wasteful number, since it uses less digits than its factorization.

10023140133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56947 (or 56945 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10023140133020 its reverse (2033104132001), we get a palindrome (12056244265021).

The spelling of 10023140133020 in words is "ten trillion, twenty-three billion, one hundred forty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1561 2230 3122 4460 6244 6379 7805 12758 15610 25516 31220 31895 44653 50329 63790 89306 100658 127580 178612 201316 223265 251645 352303 446530 503290 704606 893060 1006580 1409212 1422517 1761515 2845034 3523030 5690068 7046060 7112585 9957619 11223367 14225170 19915238 22446734 28450340 39830476 44893468 49788095 56116835 78563569 99576190 112233670 157127138 199152380 224467340 314254276 321048691 392817845 642097382 785635690 1284194764 1571271380 1605243455 2247340837 3210486910 4494681674 6420973820 8989363348 11236704185 22473408370 44946816740 71593858093 143187716186 286375432372 357969290465 501157006651 715938580930 1002314013302 1431877161860 2004628026604 2505785033255 5011570066510 10023140133020