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130405100525 = 5277919747881
BaseRepresentation
bin111100101110010111…
…1111110101111101101
3110110121011012111001222
41321130233332233231
54114032201204100
6135523545513125
712264363031310
oct1713457765755
9413534174058
10130405100525
1150339309157
12213344a27a5
13c3b2ab089b
1464511da977
1535d36d3485
hex1e5cbfebed

130405100525 has 48 divisors (see below), whose sum is σ = 188095818240. Its totient is φ = 87838732800.

The previous prime is 130405100503. The next prime is 130405100591. The reversal of 130405100525 is 525001504031.

It is not a de Polignac number, because 130405100525 - 218 = 130404838381 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130405100494 and 130405100503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2699585 + ... + 2747465.

It is an arithmetic number, because the mean of its divisors is an integer number (3918662880).

Almost surely, 2130405100525 is an apocalyptic number.

It is an amenable number.

130405100525 is a deficient number, since it is larger than the sum of its proper divisors (57690717715).

130405100525 is a wasteful number, since it uses less digits than its factorization.

130405100525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48174 (or 48169 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 130405100525 its reverse (525001504031), we get a palindrome (655406604556).

The spelling of 130405100525 in words is "one hundred thirty billion, four hundred five million, one hundred thousand, five hundred twenty-five".

Divisors: 1 5 7 25 35 79 175 197 395 553 985 1379 1975 2765 4925 6895 13825 15563 34475 47881 77815 108941 239405 335167 389075 544705 1197025 1675835 2723525 3782599 8379175 9432557 18912995 26478193 47162785 66027899 94564975 132390965 235813925 330139495 661954825 745172003 1650697475 3725860015 5216204021 18629300075 26081020105 130405100525