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103024132520 = 23541711078269
BaseRepresentation
bin101111111110010110…
…1111000000110101000
3100211220221002012011212
41133330231320012220
53141443134220040
6115154552412252
710305014451251
oct1377455700650
9324827065155
10103024132520
113a768489681
1217b726a7088
13993b1c337a
144db4949b28
152a2e998d65
hex17fcb781a8

103024132520 has 128 divisors (see below), whose sum is σ = 243082425600. Its totient is φ = 39263078400.

The previous prime is 103024132517. The next prime is 103024132577. The reversal of 103024132520 is 25231420301.

It is a super-2 number, since 2×1030241325202 (a number of 23 digits) contains 22 as substring.

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, 12454946 + ... + 12463214.

It is an arithmetic number, because the mean of its divisors is an integer number (1899081450).

Almost surely, 2103024132520 is an apocalyptic number.

103024132520 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 103024132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121541212800).

103024132520 is an abundant number, since it is smaller than the sum of its proper divisors (140058293080).

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

103024132520 is a wasteful number, since it uses less digits than its factorization.

103024132520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8499 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 103024132520 its reverse (25231420301), we get a palindrome (128255552821).

The spelling of 103024132520 in words is "one hundred three billion, twenty-four million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 71 82 107 142 164 205 214 284 328 355 410 428 535 568 710 820 856 1070 1420 1640 2140 2840 2911 4280 4387 5822 7597 8269 8774 11644 14555 15194 16538 17548 21935 23288 29110 30388 33076 35096 37985 41345 43870 58220 60776 66152 75970 82690 87740 116440 151940 165380 175480 303880 311477 330760 339029 587099 622954 678058 884783 1174198 1245908 1356116 1557385 1695145 1769566 2348396 2491816 2712232 2935495 3114770 3390290 3539132 4423915 4696792 5870990 6229540 6780580 7078264 8847830 11741980 12459080 13561160 17695660 23483960 24071059 35391320 36276103 48142118 62819593 72552206 96284236 120355295 125639186 145104412 181380515 192568472 240710590 251278372 290208824 314097965 362761030 481421180 502556744 628195930 725522060 962842360 1256391860 1451044120 2512783720 2575603313 5151206626 10302413252 12878016565 20604826504 25756033130 51512066260 103024132520