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130442613525 = 325271011097523
BaseRepresentation
bin111100101111011111…
…1000101001100010101
3110110200202210100020100
41321132333011030111
54114121302113100
6135531405524313
712265326630540
oct1713677051425
9413622710210
10130442613525
1150358500234
1221344b73699
13c3ba7b6423
1464561a3857
1535d6b43400
hex1e5efc5315

130442613525 has 144 divisors (see below), whose sum is σ = 272167758720. Its totient is φ = 58491072000.

The previous prime is 130442613491. The next prime is 130442613559. The reversal of 130442613525 is 525316244031.

130442613525 is a `hidden beast` number, since 1 + 3 + 0 + 44 + 261 + 352 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (130442613491) and next prime (130442613559).

It is not a de Polignac number, because 130442613525 - 211 = 130442611477 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130442613525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17335414 + ... + 17342936.

It is an arithmetic number, because the mean of its divisors is an integer number (1890053880).

Almost surely, 2130442613525 is an apocalyptic number.

130442613525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130442613525 is an abundant number, since it is smaller than the sum of its proper divisors (141725145195).

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

130442613525 is a wasteful number, since it uses less digits than its factorization.

130442613525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7756 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 130442613525 its reverse (525316244031), we get a palindrome (655758857556).

The spelling of 130442613525 in words is "one hundred thirty billion, four hundred forty-two million, six hundred thirteen thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 101 105 109 175 225 303 315 327 505 525 545 707 763 909 981 1515 1575 1635 2121 2289 2525 2725 3535 3815 4545 4905 6363 6867 7523 7575 8175 10605 11009 11445 17675 19075 22569 22725 24525 31815 33027 34335 37615 52661 53025 55045 57225 67707 77063 99081 112845 157983 159075 165135 171675 188075 231189 263305 275225 338535 385315 473949 495405 564225 693567 759823 789915 820007 825675 1155945 1316525 1692675 1926575 2279469 2369745 2460021 2477025 3467835 3799115 3949575 4100035 5318761 5740049 5779725 6838407 7380063 11397345 11848725 12300105 15956283 17220147 17339175 18995575 20500175 26593805 28700245 34192035 36900315 47868849 51660441 56986725 61500525 79781415 82820707 86100735 132969025 143501225 170960175 184501575 239344245 248462121 258302205 398907075 414103535 430503675 579744949 745386363 1196721225 1242310605 1291511025 1739234847 2070517675 2898724745 3726931815 5217704541 6211553025 8696174235 14493623725 18634659075 26088522705 43480871175 130442613525