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130104216 = 233211612693
BaseRepresentation
bin1111100000100…
…11101110011000
3100001210222102200
413300103232120
5231301313331
620524330200
73136603404
oct760235630
9301728380
10130104216
1167493250
12376a3960
1320c54058
14133ca104
15b64e5e6
hex7c13b98

130104216 has 96 divisors (see below), whose sum is σ = 390845520. Its totient is φ = 38764800.

The previous prime is 130104211. The next prime is 130104223. The reversal of 130104216 is 612401031.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130104211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46966 + ... + 49658.

Almost surely, 2130104216 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 130104216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195422760).

130104216 is an abundant number, since it is smaller than the sum of its proper divisors (260741304).

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

130104216 is a wasteful number, since it uses less digits than its factorization.

130104216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130104216 is about 11406.3235093522. The cubic root of 130104216 is about 506.7150342407.

Adding to 130104216 its reverse (612401031), we get a palindrome (742505247).

The spelling of 130104216 in words is "one hundred thirty million, one hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 61 66 72 88 99 122 132 183 198 244 264 366 396 488 549 671 732 792 1098 1342 1464 2013 2196 2684 2693 4026 4392 5368 5386 6039 8052 8079 10772 12078 16104 16158 21544 24156 24237 29623 32316 48312 48474 59246 64632 88869 96948 118492 164273 177738 193896 236984 266607 328546 355476 492819 533214 657092 710952 985638 1066428 1314184 1478457 1807003 1971276 2132856 2956914 3614006 3942552 5421009 5913828 7228012 10842018 11827656 14456024 16263027 21684036 32526054 43368072 65052108 130104216