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15102313321212 = 223213179412017247
BaseRepresentation
bin1101101111000100100000…
…0001010101001011111100
31222110202201011220121121200
43123301020001111023330
53434414014202234322
652041523523055500
73116051255110605
oct333611001251374
958422634817550
1015102313321212
1148a2945176097
12183ab1a211590
138571b0089830
143a2d54c70dac
151b2ca4a028ac
hexdbc480552fc

15102313321212 has 144 divisors (see below), whose sum is σ = 43576478330112. Its totient is φ = 4368870696960.

The previous prime is 15102313321171. The next prime is 15102313321247. The reversal of 15102313321212 is 21212331320151.

15102313321212 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 2 + 313 + 321 + 21 + 2 = 666.

It is a super-3 number, since 3×151023133212123 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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, 6477973 + ... + 8495219.

It is an arithmetic number, because the mean of its divisors is an integer number (302614432848).

Almost surely, 215102313321212 is an apocalyptic number.

15102313321212 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 15102313321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21788239165056).

15102313321212 is an abundant number, since it is smaller than the sum of its proper divisors (28474165008900).

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

15102313321212 is a wasteful number, since it uses less digits than its factorization.

15102313321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018228 (or 2018223 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 15102313321212 its reverse (21212331320151), we get a palindrome (36314644641363).

The spelling of 15102313321212 in words is "fifteen trillion, one hundred two billion, three hundred thirteen million, three hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 941 1326 1882 1989 2652 2823 3764 3978 5646 7956 8469 11292 12233 15997 16938 24466 31994 33876 36699 47991 48932 63988 73398 95982 110097 143973 146796 191964 207961 220194 287946 415922 440388 575892 623883 831844 1247766 1871649 2017247 2495532 3743298 4034494 6051741 7486596 8068988 12103482 18155223 24206964 26224211 34293199 36310446 52448422 68586398 72620892 78672633 102879597 104896844 137172796 157345266 205759194 236017899 308638791 314690532 411518388 445811587 472035798 617277582 891623174 944071596 1234555164 1337434761 1783246348 1898229427 2674869522 3796458854 4012304283 5349739044 5694688281 7592917708 8024608566 11389376562 16049217132 17084064843 22778753124 24676982551 32269900259 34168129686 49353965102 64539800518 68336259372 74030947653 96809700777 98707930204 129079601036 148061895306 193619401554 222092842959 290429102331 296123790612 387238803108 419508703367 444185685918 580858204662 839017406734 888371371836 1161716409324 1258526110101 1678034813468 2517052220202 3775578330303 5034104440404 7551156660606 15102313321212