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1023123420 = 2233511172243
BaseRepresentation
bin111100111110111…
…001111111011100
32122022012001111000
4330332321333130
54043404422140
6245305030300
734232256054
oct7476717734
92568161430
101023123420
11485587850
12246785390
13133c75197
1499c4a564
155ec4ca30
hex3cfb9fdc

1023123420 has 96 divisors (see below), whose sum is σ = 3472439040. Its totient is φ = 248028480.

The previous prime is 1023123383. The next prime is 1023123443. The reversal of 1023123420 is 243213201.

1023123420 is a `hidden beast` number, since 10 + 2 + 312 + 342 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023123393 and 1023123402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80182 + ... + 92061.

It is an arithmetic number, because the mean of its divisors is an integer number (36171240).

Almost surely, 21023123420 is an apocalyptic number.

1023123420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023123420 is an abundant number, since it is smaller than the sum of its proper divisors (2449315620).

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

1023123420 is a wasteful number, since it uses less digits than its factorization.

1023123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172272 (or 172264 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023123420 is about 31986.3005050600. The cubic root of 1023123420 is about 1007.6491480187.

Adding to 1023123420 its reverse (243213201), we get a palindrome (1266336621).

The spelling of 1023123420 in words is "one billion, twenty-three million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 172243 344486 516729 688972 861215 1033458 1550187 1722430 1894673 2066916 2583645 3100374 3444860 3789346 4650561 5167290 5684019 6200748 7578692 7750935 9301122 9473365 10334580 11368038 15501870 17052057 18602244 18946730 22736076 23252805 28420095 31003740 34104114 37893460 46505610 51156171 56840190 68208228 85260285 93011220 102312342 113680380 170520570 204624684 255780855 341041140 511561710 1023123420