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1023142263 = 3111317532647
BaseRepresentation
bin111100111110111…
…110100101110111
32122022020000022220
4330332332211313
54043411023023
6245305253423
734232365023
oct7476764567
92568200286
101023142263
1148559aa20
12246794273
13133c80930
1499c53383
155ec533e3
hex3cfbe977

1023142263 has 64 divisors (see below), whose sum is σ = 1729631232. Its totient is φ = 528353280.

The previous prime is 1023142247. The next prime is 1023142283. The reversal of 1023142263 is 3622413201.

It is not a de Polignac number, because 1023142263 - 24 = 1023142247 is a prime.

It is a super-2 number, since 2×10231422632 = 2093640180673522338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023142223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385206 + ... + 387852.

It is an arithmetic number, because the mean of its divisors is an integer number (27025488).

Almost surely, 21023142263 is an apocalyptic number.

1023142263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1023142263 is a deficient number, since it is larger than the sum of its proper divisors (706488969).

1023142263 is a wasteful number, since it uses less digits than its factorization.

1023142263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1023142263 is about 31986.5950516775. The cubic root of 1023142263 is about 1007.6553339835.

Adding to 1023142263 its reverse (3622413201), we get a palindrome (4645555464).

The spelling of 1023142263 in words is "one billion, twenty-three million, one hundred forty-two thousand, two hundred sixty-three".

Divisors: 1 3 11 13 17 33 39 51 53 143 159 187 221 429 561 583 663 689 901 1749 2067 2431 2647 2703 7293 7579 7941 9911 11713 22737 29117 29733 34411 35139 44999 87351 103233 128843 134997 140291 378521 386529 420873 494989 584987 1135563 1484967 1543201 1754961 1823783 2384947 4629603 5471349 6434857 7154841 19304571 20061613 26234417 31004311 60184839 78703251 93012933 341047421 1023142263