Search a number
-
+
10320331331310 = 235711131372508521
BaseRepresentation
bin1001011000101110001110…
…1011101101011011101110
31100112121120122010220221020
42112023203223231123232
52323042014310100220
633541032245115010
72113422300625230
oct226134353553356
940477518126836
1010320331331310
113319911a93470
1211a81960b8a66
1359b2841ac790
14279714564250
1512d6c74ba040
hex962e3aed6ee

10320331331310 has 256 divisors, whose sum is σ = 33498762651648. Its totient is φ = 1965074227200.

The previous prime is 10320331331293. The next prime is 10320331331341. The reversal of 10320331331310 is 1313313302301.

It is a super-2 number, since 2×103203313313102 (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 127 ways as a sum of consecutive naturals, for example, 2859850 + ... + 5368370.

It is an arithmetic number, because the mean of its divisors is an integer number (130854541608).

Almost surely, 210320331331310 is an apocalyptic number.

10320331331310 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 10320331331310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749381325824).

10320331331310 is an abundant number, since it is smaller than the sum of its proper divisors (23178431320338).

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

10320331331310 is a wasteful number, since it uses less digits than its factorization.

10320331331310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508699.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 10320331331310 its reverse (1313313302301), we get a palindrome (11633644633611).

The spelling of 10320331331310 in words is "ten trillion, three hundred twenty billion, three hundred thirty-one million, three hundred thirty-one thousand, three hundred ten".