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10322122120 = 235619416887
BaseRepresentation
bin10011001110011111…
…10001010110001000
3222122100220010121021
421213033301112020
5132114430401440
64424130522224
7513535406332
oct114717612610
928570803537
1010322122120
114417629142
122000a36374
13c8666258b
146dcc54452
154062db84a
hex2673f1588

10322122120 has 32 divisors (see below), whose sum is σ = 23262350400. Its totient is φ = 4122168768.

The previous prime is 10322122103. The next prime is 10322122121. The reversal of 10322122120 is 2122122301.

It is a happy number.

10322122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10322122094 and 10322122103.

It is not an unprimeable number, because it can be changed into a prime (10322122121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 183684 + ... + 233203.

It is an arithmetic number, because the mean of its divisors is an integer number (726948450).

Almost surely, 210322122120 is an apocalyptic number.

10322122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322122120 is an abundant number, since it is smaller than the sum of its proper divisors (12940228280).

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

10322122120 is a wasteful number, since it uses less digits than its factorization.

10322122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417517 (or 417513 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10322122120 its reverse (2122122301), we get a palindrome (12444244421).

The spelling of 10322122120 in words is "ten billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 619 1238 2476 3095 4952 6190 12380 24760 416887 833774 1667548 2084435 3335096 4168870 8337740 16675480 258053053 516106106 1032212212 1290265265 2064424424 2580530530 5161061060 10322122120