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10130301312012 = 22327532113594707
BaseRepresentation
bin1001001101101010010100…
…0000101101110000001100
31022212110002010010201211100
42103122211000231300030
52311433324113441022
633313443550223100
72063614211254320
oct223324500556014
938773063121740
1010130301312012
113256266aa3342
1211773a14b4a90
1358638b59a08b
1427044862d980
151287a44741ac
hex936a502dc0c

10130301312012 has 144 divisors (see below), whose sum is σ = 29958814109952. Its totient is φ = 2826301645440.

The previous prime is 10130301311993. The next prime is 10130301312029. The reversal of 10130301312012 is 21021310303101.

10130301312012 is a `hidden beast` number, since 1 + 0 + 130 + 301 + 31 + 201 + 2 = 666.

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

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, 1020763 + ... + 4615469.

It is an arithmetic number, because the mean of its divisors is an integer number (208047320208).

Almost surely, 210130301312012 is an apocalyptic number.

10130301312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130301312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14979407054976).

10130301312012 is an abundant number, since it is smaller than the sum of its proper divisors (19828512797940).

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

10130301312012 is a wasteful number, since it uses less digits than its factorization.

10130301312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594988 (or 3594983 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10130301312012 its reverse (21021310303101), we get a palindrome (31151611615113).

The spelling of 10130301312012 in words is "ten trillion, one hundred thirty billion, three hundred one million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 211 212 252 318 371 422 477 633 636 742 844 954 1113 1266 1477 1484 1899 1908 2226 2532 2954 3339 3798 4431 4452 5908 6678 7596 8862 11183 13293 13356 17724 22366 26586 33549 44732 53172 67098 78281 100647 134196 156562 201294 234843 313124 402588 469686 704529 939372 1409058 2818116 3594707 7189414 10784121 14378828 21568242 25162949 32352363 43136484 50325898 64704726 75488847 100651796 129409452 150977694 190519471 226466541 301955388 381038942 452933082 571558413 758483177 762077884 905866164 1143116826 1333636297 1516966354 1714675239 2275449531 2286233652 2667272594 3033932708 3429350478 4000908891 4550899062 5309382239 5334545188 6826348593 6858700956 8001817782 9101798124 10618764478 12002726673 13652697186 15928146717 16003635564 21237528956 24005453346 27305394372 31856293434 40199608381 47784440151 48010906692 63712586868 80399216762 95568880302 120598825143 160798433524 191137760604 241197650286 281397258667 361796475429 482395300572 562794517334 723592950858 844191776001 1125589034668 1447185901716 1688383552002 2532575328003 3376767104004 5065150656006 10130301312012