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130200101424 = 243213131721773
BaseRepresentation
bin111100101000010000…
…1111110001000110000
3110110001212110110011200
41321100201332020300
54113122211221144
6135451344011200
712256323413301
oct1712041761060
9413055413150
10130200101424
1150243621308
1221297900b00
13c37c496043
146431cb67a8
1535c06dcc69
hex1e5087e230

130200101424 has 120 divisors (see below), whose sum is σ = 368336125872. Its totient is φ = 42930900480.

The previous prime is 130200101419. The next prime is 130200101489. The reversal of 130200101424 is 424101002031.

130200101424 is a `hidden beast` number, since 1 + 30 + 200 + 10 + 1 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130200101397 and 130200101406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5969002 + ... + 5990774.

Almost surely, 2130200101424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130200101424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184168062936).

130200101424 is an abundant number, since it is smaller than the sum of its proper divisors (238136024448).

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

130200101424 is a wasteful number, since it uses less digits than its factorization.

130200101424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22235 (or 22226 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130200101424 its reverse (424101002031), we get a palindrome (554301103455).

The spelling of 130200101424 in words is "one hundred thirty billion, two hundred million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 317 393 524 634 786 951 1048 1179 1268 1572 1902 2096 2358 2536 2853 3144 3804 4716 5072 5706 6288 7608 9432 11412 15216 18864 21773 22824 41527 43546 45648 65319 83054 87092 124581 130638 166108 174184 195957 249162 261276 332216 348368 373743 391914 498324 522552 664432 747486 783828 996648 1045104 1494972 1567656 1993296 2852263 2989944 3135312 5704526 5979888 6902041 8556789 11409052 13804082 17113578 20706123 22818104 25670367 27608164 34227156 41412246 45636208 51340734 55216328 62118369 68454312 82824492 102681468 110432656 124236738 136908624 165648984 205362936 248473476 331297968 410725872 496946952 904167371 993893904 1808334742 2712502113 3616669484 5425004226 7233338968 8137506339 10850008452 14466677936 16275012678 21700016904 32550025356 43400033808 65100050712 130200101424