Search a number
-
+
10021103120 = 2457192947691
BaseRepresentation
bin10010101010100110…
…11110011000010000
3221212101110210011102
421111103132120100
5131010400244440
64334215003532
7503221654040
oct112523363020
927771423142
1010021103120
114282719106
121b380695a8
13c39198a22
146b0c97720
153d9b7ab15
hex2554de610

10021103120 has 320 divisors, whose sum is σ = 29655244800. Its totient is φ = 3071416320.

The previous prime is 10021103117. The next prime is 10021103137. The reversal of 10021103120 is 2130112001.

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, 14501975 + ... + 14502665.

It is an arithmetic number, because the mean of its divisors is an integer number (92672640).

Almost surely, 210021103120 is an apocalyptic number.

10021103120 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 10021103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827622400).

10021103120 is an abundant number, since it is smaller than the sum of its proper divisors (19634141680).

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

10021103120 is a wasteful number, since it uses less digits than its factorization.

10021103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10021103120 its reverse (2130112001), we get a palindrome (12151215121).

The spelling of 10021103120 in words is "ten billion, twenty-one million, one hundred three thousand, one hundred twenty".