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124131332001420 = 223255944617261973
BaseRepresentation
bin11100001110010110010011…
…111100110000111010001100
3121021111211122221210122221100
4130032112103330300322030
5112232231431443021140
61120001051403303100
735101123060610562
oct3416262374607214
9537454587718840
10124131332001420
11366088908aa327
1211b09597b1aa90
1354356c405ab43
142291dba729a32
15e53e1a386530
hex70e593f30e8c

124131332001420 has 144 divisors (see below), whose sum is σ = 382923644332320. Its totient is φ = 32539789421568.

The previous prime is 124131332001323. The next prime is 124131332001451. The reversal of 124131332001420 is 24100233131421.

124131332001420 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 3 + 1 + 33 + 200 + 1 + 420 = 666.

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, 473701554 + ... + 473963526.

It is an arithmetic number, because the mean of its divisors is an integer number (2659191974530).

Almost surely, 2124131332001420 is an apocalyptic number.

124131332001420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124131332001420 is an abundant number, since it is smaller than the sum of its proper divisors (258792312330900).

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

124131332001420 is a wasteful number, since it uses less digits than its factorization.

124131332001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306664 (or 306659 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 124131332001420 its reverse (24100233131421), we get a palindrome (148231565132841).

The spelling of 124131332001420 in words is "one hundred twenty-four trillion, one hundred thirty-one billion, three hundred thirty-two million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 44617 89234 133851 178468 223085 261973 267702 401553 446170 523946 535404 669255 785919 803106 892340 1047892 1309865 1338510 1571838 1606212 2007765 2357757 2619730 2632403 2677020 3143676 3929595 4015530 4715514 5239460 5264806 7859190 7897209 8031060 9431028 10529612 11788785 13162015 15456407 15718380 15794418 23577570 23691627 26324030 30912814 31588836 39486045 46369221 47155140 47383254 52648060 61825628 77282035 78972090 92738442 94766508 118458135 139107663 154564070 157944180 185476884 231846105 236916270 278215326 309128140 463692210 473832540 556430652 695538315 927384420 1391076630 2782153260 11688449341 23376898682 35065348023 46753797364 58442246705 70130696046 105196044069 116884493410 140261392092 175326740115 210392088138 233768986820 350653480230 420784176276 525980220345 689618511119 701306960460 1051960440690 1379237022238 2068855533357 2103920881380 2758474044476 3448092555595 4137711066714 6206566600071 6896185111190 8275422133428 10344277666785 12413133200142 13792370222380 20688555333570 24826266400284 31032833000355 41377110667140 62065666000710 124131332001420