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130101510 = 235711173313
BaseRepresentation
bin1111100000100…
…11000100000110
3100001210211201110
413300103010012
5231301222020
620524305450
73136562460
oct760230406
9301724643
10130101510
1167491210
12376a2286
1320c52a56
14133c9130
15b64d8e0
hex7c13106

130101510 has 128 divisors (see below), whose sum is σ = 412314624. Its totient is φ = 25436160.

The previous prime is 130101497. The next prime is 130101539. The reversal of 130101510 is 15101031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37614 + ... + 40926.

It is an arithmetic number, because the mean of its divisors is an integer number (3221208).

Almost surely, 2130101510 is an apocalyptic number.

130101510 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 130101510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206157312).

130101510 is an abundant number, since it is smaller than the sum of its proper divisors (282213114).

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

130101510 is a wasteful number, since it uses less digits than its factorization.

130101510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358.

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 130101510 is about 11406.2048903218. The cubic root of 130101510 is about 506.7115212098.

Adding to 130101510 its reverse (15101031), we get a palindrome (145202541).

The spelling of 130101510 in words is "one hundred thirty million, one hundred one thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 17 21 22 30 33 34 35 42 51 55 66 70 77 85 102 105 110 119 154 165 170 187 210 231 238 255 330 357 374 385 462 510 561 595 714 770 935 1122 1155 1190 1309 1785 1870 2310 2618 2805 3313 3570 3927 5610 6545 6626 7854 9939 13090 16565 19635 19878 23191 33130 36443 39270 46382 49695 56321 69573 72886 99390 109329 112642 115955 139146 168963 182215 218658 231910 255101 281605 337926 347865 364430 394247 510202 546645 563210 619531 695730 765303 788494 844815 1093290 1182741 1239062 1275505 1530606 1689630 1858593 1971235 2365482 2551010 3097655 3717186 3826515 3942470 4336717 5913705 6195310 7653030 8673434 9292965 11827410 13010151 18585930 21683585 26020302 43367170 65050755 130101510