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1033001032212 = 223228694473117
BaseRepresentation
bin11110000100000111010…
…10001101101000010100
310122202100121200120010100
433002003222031220110
5113411041231012322
62110315405054100
7134426504616642
oct17020352155024
93582317616110
101033001032212
11369103174936
12148251b57330
1376547316c36
1437dd7286192
151bd0da89dac
hexf083a8da14

1033001032212 has 18 divisors (see below), whose sum is σ = 2611197053738. Its totient is φ = 344333677392.

The previous prime is 1033001032187. The next prime is 1033001032237. The reversal of 1033001032212 is 2122301003301.

1033001032212 is a `hidden beast` number, since 1 + 0 + 330 + 0 + 1 + 0 + 322 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1033001032187) and next prime (1033001032237).

It can be written as a sum of positive squares in only one way, i.e., 858506021136 + 174495011076 = 926556^2 + 417726^2 .

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

It is a super-2 number, since 2×10330010322122 (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14347236523 + ... + 14347236594.

Almost surely, 21033001032212 is an apocalyptic number.

1033001032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1033001032212 is an abundant number, since it is smaller than the sum of its proper divisors (1578196021526).

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

1033001032212 is a wasteful number, since it uses less digits than its factorization.

1033001032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28694473127 (or 28694473122 counting only the distinct ones).

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

Adding to 1033001032212 its reverse (2122301003301), we get a palindrome (3155302035513).

The spelling of 1033001032212 in words is "one trillion, thirty-three billion, one million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 28694473117 57388946234 86083419351 114777892468 172166838702 258250258053 344333677404 516500516106 1033001032212