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12133021012310 = 25118913164114759
BaseRepresentation
bin1011000010001111000001…
…1010000101000101010110
31120221220110002120200020002
42300203300122011011112
53042241411334343220
641445455524011302
72361403366655642
oct260436032050526
946856402520202
1012133021012310
113958649066220
12143b564230b32
136a01a6424a63
142dd35439dc22
1516091b0c8c75
hexb08f0685156

12133021012310 has 128 divisors (see below), whose sum is σ = 24315968793600. Its totient is φ = 4322086912000.

The previous prime is 12133021012271. The next prime is 12133021012313. The reversal of 12133021012310 is 1321012033121.

It is a happy number.

It is a super-2 number, since 2×121330210123102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133021012313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822068711 + ... + 822083469.

It is an arithmetic number, because the mean of its divisors is an integer number (189968506200).

Almost surely, 212133021012310 is an apocalyptic number.

12133021012310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12133021012310 is an abundant number, since it is smaller than the sum of its proper divisors (12182947781290).

12133021012310 is a wasteful number, since it uses less digits than its factorization.

12133021012310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15638.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12133021012310 its reverse (1321012033121), we get a palindrome (13454033045431).

The spelling of 12133021012310 in words is "twelve trillion, one hundred thirty-three billion, twenty-one million, twelve thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 55 89 110 131 178 262 445 641 655 890 979 1282 1310 1441 1958 2882 3205 4895 6410 7051 7205 9790 11659 14102 14410 14759 23318 29518 35255 57049 58295 70510 73795 83971 114098 116590 128249 147590 162349 167942 256498 285245 324698 419855 570490 627539 641245 811745 839710 923681 1255078 1282490 1313551 1623490 1847362 1933429 2627102 3137695 3866858 4618405 6275390 6567755 7473419 9236810 9460519 9667145 13135510 14449061 14946838 18921038 19334290 21267719 28898122 37367095 42535438 47302595 72245305 74734190 82207609 94605190 104065709 106338595 144490610 164415218 172075181 208131418 212677190 344150362 411038045 520328545 822076090 841986191 860375905 1040657090 1239327989 1683972382 1720751810 1892826991 2478655978 3785653982 4209930955 6196639945 8419861910 9261848101 9464134955 12393279890 13632607879 18523696202 18928269910 27265215758 46309240505 68163039395 92618481010 110300191021 136326078790 220600382042 551500955105 1103001910210 1213302101231 2426604202462 6066510506155 12133021012310