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130201103312 = 247191313591301
BaseRepresentation
bin111100101000010010…
…1110010101111010000
3110110001221100100111122
41321100211302233100
54113122440301222
6135451421301412
712256335055250
oct1712045625720
9413057310448
10130201103312
1150244146015
1221298104868
13c37c757087
146432097960
1535c0839a42
hex1e50972bd0

130201103312 has 160 divisors (see below), whose sum is σ = 306880358400. Its totient is φ = 52273728000.

The previous prime is 130201103311. The next prime is 130201103317. The reversal of 130201103312 is 213301102031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130201103311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100077062 + ... + 100078362.

It is an arithmetic number, because the mean of its divisors is an integer number (1918002240).

Almost surely, 2130201103312 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 130201103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153440179200).

130201103312 is an abundant number, since it is smaller than the sum of its proper divisors (176679255088).

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

130201103312 is a wasteful number, since it uses less digits than its factorization.

130201103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130201103312 its reverse (213301102031), we get a palindrome (343502205343).

The spelling of 130201103312 in words is "one hundred thirty billion, two hundred one million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 131 133 152 262 266 304 359 524 532 718 917 1048 1064 1301 1436 1834 2096 2128 2489 2513 2602 2872 3668 4978 5026 5204 5744 6821 7336 9107 9956 10052 10408 13642 14672 17423 18214 19912 20104 20816 24719 27284 34846 36428 39824 40208 47029 47747 49438 54568 69692 72856 94058 95494 98876 109136 139384 145712 170431 173033 188116 190988 197752 278768 329203 340862 346066 376232 381976 395504 467059 658406 681724 692132 752464 763952 893551 934118 1193017 1316812 1363448 1384264 1787102 1868236 2386034 2633624 2726896 2768528 3238189 3269413 3574204 3736472 4772068 5267248 6254857 6476378 6538826 7148408 7472944 8874121 9544136 12509714 12952756 13077652 14296816 17748242 19088272 22667323 25019428 25905512 26155304 35496484 45334646 50038856 51811024 52310608 61184729 62118847 70992968 90669292 100077712 122369458 124237694 141985936 181338584 244738916 248475388 362677168 428293103 489477832 496950776 856586206 978955664 993901552 1162509851 1713172412 2325019702 3426344824 4650039404 6852689648 8137568957 9300078808 16275137914 18600157616 32550275828 65100551656 130201103312