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10322123240 = 2351113171011051
BaseRepresentation
bin10011001110011111…
…10001100111101000
3222122100220012010202
421213033301213220
5132114430420430
64424130531332
7513535412522
oct114717614750
928570805122
1010322123240
114417629a70
122000a36b48
13c86662c40
146dcc54a12
154062dbd45
hex2673f19e8

10322123240 has 256 divisors, whose sum is σ = 29203856640. Its totient is φ = 3225600000.

The previous prime is 10322123239. The next prime is 10322123243. The reversal of 10322123240 is 4232122301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10322123243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9820715 + ... + 9821765.

It is an arithmetic number, because the mean of its divisors is an integer number (114077565).

Almost surely, 210322123240 is an apocalyptic number.

10322123240 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 10322123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14601928320).

10322123240 is an abundant number, since it is smaller than the sum of its proper divisors (18881733400).

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

10322123240 is a wasteful number, since it uses less digits than its factorization.

10322123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10322123240 its reverse (4232122301), we get a palindrome (14554245541).

The spelling of 10322123240 in words is "ten billion, three hundred twenty-two million, one hundred twenty-three thousand, two hundred forty".