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103250515130 = 257483197263
BaseRepresentation
bin110000000101000110…
…1011101010010111010
3100212111201001121201222
41200022031131102322
53142424112441010
6115233240512042
710313433620000
oct1401215352272
9325451047658
10103250515130
113a874251244
121801647b622
139976086c89
144dd6a38a70
152a447b5355
hex180a35d4ba

103250515130 has 160 divisors (see below), whose sum is σ = 221377774464. Its totient is φ = 34663832448.

The previous prime is 103250515099. The next prime is 103250515133. The reversal of 103250515130 is 31515052301.

It is a happy number.

It is a super-2 number, since 2×1032505151302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103250515130.

It is not an unprimeable number, because it can be changed into a prime (103250515133) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 392587379 + ... + 392587641.

Almost surely, 2103250515130 is an apocalyptic number.

103250515130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103250515130 is an abundant number, since it is smaller than the sum of its proper divisors (118127259334).

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

103250515130 is an equidigital number, since it uses as much as digits as its factorization.

103250515130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

Adding to 103250515130 its reverse (31515052301), we get a palindrome (134765567431).

The spelling of 103250515130 in words is "one hundred three billion, two hundred fifty million, five hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 83 98 166 197 245 263 343 394 415 490 526 581 686 830 985 1162 1315 1379 1715 1841 1970 2401 2630 2758 2905 3430 3682 4067 4802 5810 6895 8134 9205 9653 12005 12887 13790 16351 18410 19306 20335 21829 24010 25774 28469 32702 40670 43658 48265 51811 56938 64435 67571 81755 90209 96530 103622 109145 114457 128870 135142 142345 152803 163510 180418 199283 218290 228914 259055 284690 305606 337855 362677 398566 451045 472997 518110 572285 631463 675710 725354 764015 801199 902090 945994 996415 1069621 1144570 1262926 1528030 1602398 1813385 1992830 2139242 2364985 2538739 3157315 3626770 4005995 4300313 4729970 5077478 5348105 5608393 6314630 7487347 8011990 8600626 10696210 11216786 12693695 14974694 17771173 21501565 25387390 28041965 30102191 35542346 37436735 39258751 43003130 52411429 56083930 60204382 74873470 78517502 88855865 104822858 124398211 150510955 177711730 196293755 210715337 248796422 262057145 301021910 392587510 421430674 524114290 621991055 1053576685 1243982110 1475007359 2107153370 2950014718 7375036795 10325051513 14750073590 20650103026 51625257565 103250515130