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10332121122 = 232574006729
BaseRepresentation
bin10011001111101011…
…11010100000100010
3222200001201010122200
421213311322200202
5132130010333442
64425125114030
7514016403051
oct114765724042
928601633580
1010332121122
114422238584
122004258916
13c8875384b
147002d8398
1540711434c
hex267d7a822

10332121122 has 12 divisors (see below), whose sum is σ = 22386262470. Its totient is φ = 3444040368.

The previous prime is 10332121109. The next prime is 10332121139. The reversal of 10332121122 is 22112123301.

10332121122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10020210201 + 311910921 = 100101^2 + 17661^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 574006729 = 10332121122 / (1 + 0 + 3 + 3 + 2 + 1 + 2 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10332121095 and 10332121104.

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 5 ways as a sum of consecutive naturals, for example, 287003347 + ... + 287003382.

Almost surely, 210332121122 is an apocalyptic number.

10332121122 is an abundant number, since it is smaller than the sum of its proper divisors (12054141348).

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

10332121122 is a wasteful number, since it uses less digits than its factorization.

10332121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574006737 (or 574006734 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10332121122 its reverse (22112123301), we get a palindrome (32444244423).

The spelling of 10332121122 in words is "ten billion, three hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 574006729 1148013458 1722020187 3444040374 5166060561 10332121122