Search a number
-
+
10323212510688 = 25371117918314261
BaseRepresentation
bin1001011000111000111101…
…1010100010010111100000
31100112220000102121000000120
42112032033122202113200
52323113414400320223
633542230210520240
72113553554351140
oct226161732422740
940486012530016
1010323212510688
113320060378150
1211a885ab96080
1359b623090b4c
1427990907a920
1512d7e53dcbe3
hex9638f6a25e0

10323212510688 has 384 divisors, whose sum is σ = 34000334807040. Its totient is φ = 2664292608000.

The previous prime is 10323212510593. The next prime is 10323212510701. The reversal of 10323212510688 is 88601521232301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2422718478 + ... + 2422722738.

It is an arithmetic number, because the mean of its divisors is an integer number (88542538560).

Almost surely, 210323212510688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323212510688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17000167403520).

10323212510688 is an abundant number, since it is smaller than the sum of its proper divisors (23677122296352).

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

10323212510688 is a wasteful number, since it uses less digits than its factorization.

10323212510688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

Adding to 10323212510688 its reverse (88601521232301), we get a palindrome (98924733742989).

The spelling of 10323212510688 in words is "ten trillion, three hundred twenty-three billion, two hundred twelve million, five hundred ten thousand, six hundred eighty-eight".