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10430022120 = 2335771179977
BaseRepresentation
bin10011011011010110…
…11000000111101000
3222220212221000120120
421231223120013220
5132330041201440
64442543323240
7516315503520
oct115553300750
928825830516
1010430022120
114472525aa1
122030bb0520
13ca2b10b2b
1470d300680
15410a01dd0
hex26dad81e8

10430022120 has 256 divisors, whose sum is σ = 36503654400. Its totient is φ = 2334904320.

The previous prime is 10430022107. The next prime is 10430022131. The reversal of 10430022120 is 2122003401.

10430022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104300221202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10430022120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10675072 + ... + 10676048.

It is an arithmetic number, because the mean of its divisors is an integer number (142592400).

Almost surely, 210430022120 is an apocalyptic number.

10430022120 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 10430022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251827200).

10430022120 is an abundant number, since it is smaller than the sum of its proper divisors (26073632280).

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

10430022120 is a wasteful number, since it uses less digits than its factorization.

10430022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10430022120 its reverse (2122003401), we get a palindrome (12552025521).

The spelling of 10430022120 in words is "ten billion, four hundred thirty million, twenty-two thousand, one hundred twenty".