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1020033000101 = 4144575581973
BaseRepresentation
bin11101101011111101011…
…01000110001010100101
310121111212212001021100202
432311332231012022211
5113203011422000401
62100332515120245
7133460240305103
oct16657655061245
93544785037322
101020033000101
11363659044425
12145832ba3085
137525b758b5b
1437526c7cc73
151b80035006b
hexed7eb462a5

1020033000101 has 8 divisors (see below), whose sum is σ = 1045146483864. Its totient is φ = 994930689280.

The previous prime is 1020033000059. The next prime is 1020033000109. The reversal of 1020033000101 is 1010003300201.

It can be written as a sum of positive squares in 4 ways, for example, as 164174884225 + 855858115876 = 405185^2 + 925126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020033000101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020033000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2608250 + ... + 2973723.

It is an arithmetic number, because the mean of its divisors is an integer number (130643310483).

Almost surely, 21020033000101 is an apocalyptic number.

It is an amenable number.

1020033000101 is a deficient number, since it is larger than the sum of its proper divisors (25113483763).

1020033000101 is an equidigital number, since it uses as much as digits as its factorization.

1020033000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586471.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1020033000101 its reverse (1010003300201), we get a palindrome (2030036300302).

The spelling of 1020033000101 in words is "one trillion, twenty billion, thirty-three million, one hundred one", and thus it is an aban number.

Divisors: 1 41 4457 182737 5581973 228860893 24878853661 1020033000101