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10021212010012 = 22729113548319919
BaseRepresentation
bin1001000111010011111011…
…0010000011011000011100
31022111000111111101000020211
42101310332302003120130
52303141420233310022
633151403052022204
72053002655430140
oct221647662033034
938430444330224
1010021212010012
113213a76a22105
12115a217761964
13578cc4971038
1426905a38d220
15125a1c2bce77
hex91d3ec8361c

10021212010012 has 96 divisors (see below), whose sum is σ = 20921889945600. Its totient is φ = 4109055992832.

The previous prime is 10021212009883. The next prime is 10021212010013. The reversal of 10021212010012 is 21001021212001.

It is a super-3 number, since 3×100212120100123 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021212009974 and 10021212010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021212010013) 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, 503088189 + ... + 503108107.

It is an arithmetic number, because the mean of its divisors is an integer number (217936353600).

Almost surely, 210021212010012 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 10021212010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460944972800).

10021212010012 is an abundant number, since it is smaller than the sum of its proper divisors (10900677935588).

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

10021212010012 is a wasteful number, since it uses less digits than its factorization.

10021212010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25555 (or 25553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10021212010012 its reverse (21001021212001), we get a palindrome (31022233222013).

The spelling of 10021212010012 in words is "ten trillion, twenty-one billion, two hundred twelve million, ten thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 113 116 203 226 406 452 791 812 1582 3164 3277 5483 6554 10966 13108 19919 21932 22939 38381 39838 45878 76762 79676 91756 139433 153524 159007 278866 318014 557732 577651 619579 636028 1113049 1155302 1239158 2226098 2250847 2310604 2478316 4043557 4337053 4452196 4501694 8087114 8674106 9003388 15755929 16174228 17348212 17967791 31511858 35935582 63023716 65274563 71871164 109215877 125774537 130549126 218431754 251549074 261098252 436863508 456921941 503098148 764511139 913843882 1529022278 1827687764 3058044556 3167260433 6334520866 12341394101 12669041732 22170823031 24682788202 44341646062 49365576404 86389758707 88683292124 172779517414 345559034828 357900428929 715800857858 1431601715716 2505303002503 5010606005006 10021212010012