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121433240134104 = 23343671799811379
BaseRepresentation
bin11011100111000101100001…
…001001000110000111011000
3120220221220102021221121012020
4123213011201021012013120
5111404030233433242404
61110133354351014440
734402155615260163
oct3347054111060730
9526856367847166
10121433240134104
1135768603330208
12117526aa50a420
13529b14a77a042
1421db586158ada
15e08b55ab8ed9
hex6e71612461d8

121433240134104 has 128 divisors (see below), whose sum is σ = 317041008768000. Its totient is φ = 38728727097984.

The previous prime is 121433240134091. The next prime is 121433240134123. The reversal of 121433240134104 is 401431042334121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7471087 + ... + 17282465.

It is an arithmetic number, because the mean of its divisors is an integer number (2476882881000).

Almost surely, 2121433240134104 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 121433240134104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158520504384000).

121433240134104 is an abundant number, since it is smaller than the sum of its proper divisors (195607768633896).

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

121433240134104 is a wasteful number, since it uses less digits than its factorization.

121433240134104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9811677 (or 9811673 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 121433240134104 its reverse (401431042334121), we get a palindrome (522864282468225).

The spelling of 121433240134104 in words is "one hundred twenty-one trillion, four hundred thirty-three billion, two hundred forty million, one hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 67 86 129 134 172 179 201 258 268 344 358 402 516 536 537 716 804 1032 1074 1432 1608 2148 2881 4296 5762 7697 8643 11524 11993 15394 17286 23048 23091 23986 30788 34572 35979 46182 47972 61576 69144 71958 92364 95944 143916 184728 287832 515699 1031398 1547097 2062796 3094194 4125592 6188388 9811379 12376776 19622758 29434137 39245516 58868274 78491032 117736548 235473096 421889297 657362393 843778594 1265667891 1314724786 1687557188 1756236841 1972087179 2531335782 2629449572 3375114376 3512473682 3944174358 5062671564 5258899144 5268710523 7024947364 7888348716 10125343128 10537421046 14049894728 15776697432 21074842092 28266582899 42149684184 56533165798 75518184163 84799748697 113066331596 117667868347 151036368326 169599497394 226132663192 226554552489 235335736694 302072736652 339198994788 353003605041 453109104978 470671473388 604145473304 678397989576 706007210082 906218209956 941342946776 1412014420164 1812436419912 2824028840328 5059718338921 10119436677842 15179155016763 20238873355684 30358310033526 40477746711368 60716620067052 121433240134104