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1032001233012 = 223228666700917
BaseRepresentation
bin11110000010010000001…
…00010010000001110100
310122122202221101111110100
433001020010102001310
5113402014303424022
62110032251554100
7134362644513321
oct17011004220164
93578687344410
101032001233012
1136873a878a02
1214801315b930
137641814a289
1437d4058bb48
151bca0de81ac
hexf048112074

1032001233012 has 18 divisors (see below), whose sum is σ = 2608669783538. Its totient is φ = 344000410992.

The previous prime is 1032001232971. The next prime is 1032001233119. The reversal of 1032001233012 is 2103321002301.

1032001233012 is a `hidden beast` number, since 1 + 0 + 320 + 0 + 1 + 2 + 330 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 838334347236 + 193666885776 = 915606^2 + 440076^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14333350423 + ... + 14333350494.

Almost surely, 21032001233012 is an apocalyptic number.

1032001233012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1032001233012 is an abundant number, since it is smaller than the sum of its proper divisors (1576668550526).

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

1032001233012 is a wasteful number, since it uses less digits than its factorization.

1032001233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28666700927 (or 28666700922 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1032001233012 its reverse (2103321002301), we get a palindrome (3135322235313).

The spelling of 1032001233012 in words is "one trillion, thirty-two billion, one million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 28666700917 57333401834 86000102751 114666803668 172000205502 258000308253 344000411004 516000616506 1032001233012