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12032101303131 = 3721323138940163
BaseRepresentation
bin1010111100010111000100…
…0111111100001101011011
31120121020221211100021011110
42233011301013330031123
53034113220413200011
641331245424231403
72351201454413400
oct257056107741533
946536854307143
1012032101303131
113919870566a98
121423a9a46b563
1369381220aa00
142d84dd1322a7
1515ceb126cba6
hexaf1711fc35b

12032101303131 has 144 divisors (see below), whose sum is σ = 20914018145280. Its totient is φ = 6125932350720.

The previous prime is 12032101303121. The next prime is 12032101303133. The reversal of 12032101303131 is 13130310123021.

It is a happy number.

It is not a de Polignac number, because 12032101303131 - 214 = 12032101286747 is a prime.

It is a super-2 number, since 2×120321013031312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12032101303098 and 12032101303107.

It is not an unprimeable number, because it can be changed into a prime (12032101303133) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 299561656 + ... + 299601818.

It is an arithmetic number, because the mean of its divisors is an integer number (145236237120).

Almost surely, 212032101303131 is an apocalyptic number.

12032101303131 is a deficient number, since it is larger than the sum of its proper divisors (8881916842149).

12032101303131 is a wasteful number, since it uses less digits than its factorization.

12032101303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40626 (or 40606 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12032101303131 its reverse (13130310123021), we get a palindrome (25162411426152).

The spelling of 12032101303131 in words is "twelve trillion, thirty-two billion, one hundred one million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 169 217 273 389 403 507 637 651 1167 1183 1209 1519 1911 2723 2821 3549 4557 5057 5239 8169 8281 8463 12059 15171 15717 19061 19747 24843 35399 36177 36673 40163 57183 59241 65741 84413 106197 110019 120489 156767 197223 247793 253239 256711 281141 460187 470301 522119 590891 743379 770133 843423 1097369 1245053 1380561 1566357 1772673 1967987 2037971 3221309 3292107 3654833 3735159 5903961 6113913 6787547 7681583 8715371 9663927 10964499 14265797 15623407 16185689 20362641 23044749 25583831 26146113 42797391 46870221 47512829 48557067 61007597 76751493 99860579 109363849 113299823 142538487 183022791 203104291 210413957 299581737 328091547 332589803 339899469 484325617 609312873 631241871 765546943 793098761 997769409 1421730037 1452976851 1472897699 2296640829 2379296283 2640355783 3390279319 4265190111 4418693097 6296233021 7921067349 9952110259 10170837957 10310283893 18482490481 18888699063 23731955233 29856330777 30930851679 44073631147 55447471443 71195865699 81851029273 129377433367 132220893441 245553087819 308515418029 388132300101 572957204911 925546254087 1718871614733 4010700434377 12032101303131