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1323230020 = 2257172321051
BaseRepresentation
bin100111011011110…
…1110001101000100
310102012220001100021
41032313232031010
510202221330040
6335145224524
744535161320
oct11667561504
93365801307
101323230020
11619a24332
1230b192144
131811ac658
14c7a4a980
157b27d24a
hex4edee344

1323230020 has 144 divisors (see below), whose sum is σ = 3518460288. Its totient is φ = 408038400.

The previous prime is 1323229991. The next prime is 1323230039. The reversal of 1323230020 is 200323231.

It is a junction number, because it is equal to n+sod(n) for n = 1323229976 and 1323230003.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1258495 + ... + 1259545.

It is an arithmetic number, because the mean of its divisors is an integer number (24433752).

Almost surely, 21323230020 is an apocalyptic number.

1323230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759230144).

1323230020 is an abundant number, since it is smaller than the sum of its proper divisors (2195230268).

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

1323230020 is a wasteful number, since it uses less digits than its factorization.

1323230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1323230020 is about 36376.2287764963. The cubic root of 1323230020 is about 1097.8553308998.

Adding to 1323230020 its reverse (200323231), we get a palindrome (1523553251).

The spelling of 1323230020 in words is "one billion, three hundred twenty-three million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 529 595 644 782 805 1051 1058 1190 1564 1610 1955 2102 2116 2380 2645 2737 3220 3703 3910 4204 5255 5290 5474 7357 7406 7820 8993 10510 10580 10948 13685 14714 14812 17867 17986 18515 21020 24173 27370 29428 35734 35972 36785 37030 44965 48346 54740 62951 71468 73570 74060 89335 89930 96692 120865 125069 125902 147140 169211 178670 179860 241730 250138 251804 314755 338422 357340 410941 483460 500276 555979 625345 629510 676844 821882 846055 1111958 1250690 1259020 1643764 1692110 2054705 2223916 2501380 2779895 2876587 3384220 3891853 4109410 5559790 5753174 7783706 8218820 9451643 11119580 11506348 14382935 15567412 18903286 19459265 28765870 37806572 38918530 47258215 57531740 66161501 77837060 94516430 132323002 189032860 264646004 330807505 661615010 1323230020