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1023033023233 = 13266137295693
BaseRepresentation
bin11101110001100011000…
…01010001101100000001
310121210121221010020102121
432320301201101230001
5113230132423220413
62101550324044241
7133624466135164
oct16706141215401
93553557106377
101023033023233
11364958520191
1214632b833681
137561914aa80
143772d48dadb
151b9288eab8d
hexee31851b01

1023033023233 has 8 divisors (see below), whose sum is σ = 1101735736808. Its totient is φ = 944331433344.

The previous prime is 1023033023167. The next prime is 1023033023239. The reversal of 1023033023233 is 3323203303201.

It can be written as a sum of positive squares in 4 ways, for example, as 1664068849 + 1021368954384 = 40793^2 + 1010628^2 .

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

It is not a de Polignac number, because 1023033023233 - 221 = 1023030926081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023033023198 and 1023033023207.

It is not an unprimeable number, because it can be changed into a prime (1023033023239) 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 7 ways as a sum of consecutive naturals, for example, 3311935 + ... + 3607627.

It is an arithmetic number, because the mean of its divisors is an integer number (137716967101).

Almost surely, 21023033023233 is an apocalyptic number.

1023033023233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1023033023233 is a deficient number, since it is larger than the sum of its proper divisors (78702713575).

1023033023233 is a wasteful number, since it uses less digits than its factorization.

1023033023233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561843.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 1023033023233 its reverse (3323203303201), we get a palindrome (4346236326434).

The spelling of 1023033023233 in words is "one trillion, twenty-three billion, thirty-three million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 13 266137 295693 3459781 3844009 78694847941 1023033023233