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130003510 = 257131973103
BaseRepresentation
bin1111011111110…
…11001000110110
3100001121212021211
413233323020312
5231240103020
620522232034
73136003660
oct757731066
9301555254
10130003510
116742461a
123765561a
1320c1a270
14133a1530
15b62e85a
hex7bfb236

130003510 has 128 divisors (see below), whose sum is σ = 310302720. Its totient is φ = 38071296.

The previous prime is 130003507. The next prime is 130003519. The reversal of 130003510 is 15300031.

It is a super-2 number, since 2×1300035102 = 33801825224640200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

130003510 is a modest number, since divided by 3510 gives 130 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130003519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1262119 + ... + 1262221.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 2130003510 is an apocalyptic number.

130003510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130003510 is an abundant number, since it is smaller than the sum of its proper divisors (180299210).

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

130003510 is a wasteful number, since it uses less digits than its factorization.

130003510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 130003510 is about 11401.9081736348. The cubic root of 130003510 is about 506.5842610864.

Adding to 130003510 its reverse (15300031), we get a palindrome (145303541).

The spelling of 130003510 in words is "one hundred thirty million, three thousand, five hundred ten".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 65 70 73 91 95 103 130 133 146 182 190 206 247 266 365 455 494 511 515 665 721 730 910 949 1022 1030 1235 1330 1339 1387 1442 1729 1898 1957 2470 2555 2678 2774 3458 3605 3914 4745 5110 6643 6695 6935 7210 7519 8645 9373 9490 9709 9785 13286 13390 13699 13870 15038 17290 18031 18746 19418 19570 25441 27398 33215 36062 37595 46865 48545 50882 52633 66430 68495 75190 90155 93730 97090 97747 105266 126217 127205 136990 142861 178087 180310 195494 252434 254410 263165 285722 356174 488735 526330 631085 684229 714305 890435 977470 1000027 1262170 1368458 1428610 1780870 1857193 2000054 3421145 3714386 5000135 6842290 9285965 10000270 13000351 18571930 26000702 65001755 130003510