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1003141230 = 23573137499
BaseRepresentation
bin111011110010101…
…011100001101110
32120220120212001220
4323302223201232
54023301004410
6243312444210
733600363000
oct7362534156
92526525056
101003141230
11475279943
1223bb49666
1312ca99bc0
1497328370
155d102070
hex3bcab86e

1003141230 has 128 divisors (see below), whose sum is σ = 3024000000. Its totient is φ = 211623552.

The previous prime is 1003141207. The next prime is 1003141267. The reversal of 1003141230 is 321413001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130021 + ... + 137519.

It is an arithmetic number, because the mean of its divisors is an integer number (23625000).

Almost surely, 21003141230 is an apocalyptic number.

1003141230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003141230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000000).

1003141230 is an abundant number, since it is smaller than the sum of its proper divisors (2020858770).

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

1003141230 is a wasteful number, since it uses less digits than its factorization.

1003141230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1003141230 is about 31672.4048660660. The cubic root of 1003141230 is about 1001.0459822064.

Adding to 1003141230 its reverse (321413001), we get a palindrome (1324554231).

The spelling of 1003141230 in words is "one billion, three million, one hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 343 390 455 490 546 637 686 735 910 1029 1274 1365 1470 1715 1911 2058 2730 3185 3430 3822 4459 5145 6370 7499 8918 9555 10290 13377 14998 19110 22295 22497 26754 37495 44590 44994 52493 66885 74990 97487 104986 112485 133770 157479 194974 224970 262465 292461 314958 367451 487435 524930 584922 682409 734902 787395 974870 1102353 1364818 1462305 1574790 1837255 2047227 2204706 2572157 2924610 3412045 3674510 4094454 4776863 5144314 5511765 6824090 7716471 9553726 10236135 11023530 12860785 14330589 15432942 20472270 23884315 25721570 28661178 33438041 38582355 47768630 66876082 71652945 77164710 100314123 143305890 167190205 200628246 334380410 501570615 1003141230