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10332030042 = 2322919793161
BaseRepresentation
bin10011001111101011…
…00100010001011010
3222200001112111201100
421213311210101122
5132124444430132
64425123132230
7514015543365
oct114765442132
928601474640
1010332030042
114422186104
122004214076
13c88721259
147002b30dc
154070e737c
hex267d6445a

10332030042 has 24 divisors (see below), whose sum is σ = 23157999540. Its totient is φ = 3325250880.

The previous prime is 10332029999. The next prime is 10332030043. The reversal of 10332030042 is 24003023301.

10332030042 is a `hidden beast` number, since 1 + 0 + 3 + 320 + 300 + 42 = 666.

10332030042 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 2 ways, for example, as 9793279521 + 538750521 = 98961^2 + 23211^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10332029997 and 10332030024.

It is not an unprimeable number, because it can be changed into a prime (10332030043) 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 11 ways as a sum of consecutive naturals, for example, 9896059 + ... + 9897102.

Almost surely, 210332030042 is an apocalyptic number.

10332030042 is an abundant number, since it is smaller than the sum of its proper divisors (12825969498).

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

10332030042 is a wasteful number, since it uses less digits than its factorization.

10332030042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19793198 (or 19793195 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10332030042 its reverse (24003023301), we get a palindrome (34335053343).

The spelling of 10332030042 in words is "ten billion, three hundred thirty-two million, thirty thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 19793161 39586322 59379483 118758966 178138449 356276898 574001669 1148003338 1722005007 3444010014 5166015021 10332030042