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130200289141752 = 23332605323136649
BaseRepresentation
bin11101100110101010011101…
…111110111110001111111000
3122002000000201000100220012000
4131212222131332332033320
5114031200143010014002
61140525104225221000
736265442353262364
oct3546523576761770
9562000630326160
10130200289141752
11385386a59a6955
1212729831491760
135785ab076ca4b
142421a288282a4
15100bc1d0d461c
hex766a9dfbe3f8

130200289141752 has 64 divisors (see below), whose sum is σ = 361681367460000. Its totient is φ = 43398428666112.

The previous prime is 130200289141603. The next prime is 130200289141787. The reversal of 130200289141752 is 257141982002031.

130200289141752 is a `hidden beast` number, since 1 + 3 + 0 + 200 + 28 + 9 + 1 + 417 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130200289141698 and 130200289141707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5940877 + ... + 17195772.

Almost surely, 2130200289141752 is an apocalyptic number.

130200289141752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130200289141752 is an abundant number, since it is smaller than the sum of its proper divisors (231481078318248).

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

130200289141752 is a wasteful number, since it uses less digits than its factorization.

130200289141752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23162717 (or 23162707 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 130200289141752 in words is "one hundred thirty trillion, two hundred billion, two hundred eighty-nine million, one hundred forty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 26053 52106 78159 104212 156318 208424 234477 312636 468954 625272 703431 937908 1406862 1875816 2813724 5627448 23136649 46273298 69409947 92546596 138819894 185093192 208229841 277639788 416459682 555279576 624689523 832919364 1249379046 1665838728 2498758092 4997516184 602779116397 1205558232794 1808337349191 2411116465588 3616674698382 4822232931176 5425012047573 7233349396764 10850024095146 14466698793528 16275036142719 21700048190292 32550072285438 43400096380584 65100144570876 130200289141752