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1023053432310 = 2325713196574471
BaseRepresentation
bin11101110001100101011…
…11001000010111110110
310121210200100112010102100
432320302233020113312
5113230203134313220
62101552333322530
7133625134456650
oct16706257102766
93553610463370
101023053432310
11364968a9a898
12146336636446
1375620445450
14377320836d0
151b92a5ccd90
hexee32bc85f6

1023053432310 has 192 divisors, whose sum is σ = 3446075243520. Its totient is φ = 204492314880.

The previous prime is 1023053432309. The next prime is 1023053432311. The reversal of 1023053432310 is 132343503201.

1023053432310 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 5 + 343 + 2 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (1023053432309) and next prime (1023053432311).

It is a super-2 number, since 2×10230534323102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023053432311) 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 95 ways as a sum of consecutive naturals, for example, 3131626 + ... + 3442845.

It is an arithmetic number, because the mean of its divisors is an integer number (17948308560).

Almost surely, 21023053432310 is an apocalyptic number.

1023053432310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023053432310 is an abundant number, since it is smaller than the sum of its proper divisors (2423021811210).

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

1023053432310 is a wasteful number, since it uses less digits than its factorization.

1023053432310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574523 (or 6574520 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1023053432310 its reverse (132343503201), we get a palindrome (1155396935511).

The spelling of 1023053432310 in words is "one trillion, twenty-three billion, fifty-three million, four hundred thirty-two thousand, three hundred ten".