Search a number
-
+
10024045250310 = 23257135689215141
BaseRepresentation
bin1001000111011110011110…
…1010000000011100000110
31022111021210221121112021200
42101313213222000130012
52303213221041002220
633152552142123330
72053133120531010
oct221674752003406
938437727545250
1010024045250310
1132151a0243513
12115a888580546
135793569390a0
142692487871b0
15125b35dc1890
hex91de7a80706

10024045250310 has 192 divisors, whose sum is σ = 32082732339840. Its totient is φ = 2114581800960.

The previous prime is 10024045250293. The next prime is 10024045250347. The reversal of 10024045250310 is 1305254042001.

10024045250310 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 404 + 5 + 250 + 3 + 1 + 0 = 666.

It is a super-2 number, since 2×100240452503102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46485340 + ... + 46700480.

It is an arithmetic number, because the mean of its divisors is an integer number (167097564270).

Almost surely, 210024045250310 is an apocalyptic number.

10024045250310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024045250310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16041366169920).

10024045250310 is an abundant number, since it is smaller than the sum of its proper divisors (22058687089530).

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

10024045250310 is a wasteful number, since it uses less digits than its factorization.

10024045250310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220863 (or 220860 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10024045250310 its reverse (1305254042001), we get a palindrome (11329299292311).

The spelling of 10024045250310 in words is "ten trillion, twenty-four billion, forty-five million, two hundred fifty thousand, three hundred ten".