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10030000332 = 22311103737717
BaseRepresentation
bin10010101011101010…
…11010100011001100
3221220000012210211210
421111311122203030
5131020140002312
64335133414420
7503360411322
oct112565324314
927800183753
1010030000332
114287745780
121b3b03a410
13c3ac92651
146b2131d12
153da836e3c
hex255d5a8cc

10030000332 has 48 divisors (see below), whose sum is σ = 25778817792. Its totient is φ = 3009881280.

The previous prime is 10030000327. The next prime is 10030000339. The reversal of 10030000332 is 23300003001.

It is a happy number.

10030000332 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 2×100300003322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10030000339) 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 15 ways as a sum of consecutive naturals, for example, 355263 + ... + 382454.

It is an arithmetic number, because the mean of its divisors is an integer number (537058704).

Almost surely, 210030000332 is an apocalyptic number.

10030000332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10030000332 is an abundant number, since it is smaller than the sum of its proper divisors (15748817460).

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

10030000332 is a wasteful number, since it uses less digits than its factorization.

10030000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737838 (or 737836 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10030000332 its reverse (23300003001), we get a palindrome (33330003333).

The spelling of 10030000332 in words is "ten billion, thirty million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3399 4532 6798 13596 737717 1475434 2213151 2950868 4426302 8114887 8852604 16229774 24344661 32459548 48689322 75984851 97378644 151969702 227954553 303939404 455909106 835833361 911818212 1671666722 2507500083 3343333444 5015000166 10030000332