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121313353434 = 237133755710781
BaseRepresentation
bin111000011111011010…
…1101101111011011010
3102121010112110212201020
41300332311231323122
53441422204302214
6131421450103310
711523154330110
oct1607665557332
9377115425636
10121313353434
11474a3252a89
121b61771ab36
13b594319390
145c2b941ab0
1532504324a9
hex1c3ed6deda

121313353434 has 128 divisors (see below), whose sum is σ = 307267333632. Its totient is φ = 31071237120.

The previous prime is 121313353379. The next prime is 121313353459. The reversal of 121313353434 is 434353313121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121313353395 and 121313353404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11247124 + ... + 11257904.

It is an arithmetic number, because the mean of its divisors is an integer number (2400526044).

Almost surely, 2121313353434 is an apocalyptic number.

121313353434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121313353434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153633666816).

121313353434 is an abundant number, since it is smaller than the sum of its proper divisors (185953980198).

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

121313353434 is a wasteful number, since it uses less digits than its factorization.

121313353434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400.

The product of its digits is 38880, while the sum is 33.

Adding to 121313353434 its reverse (434353313121), we get a palindrome (555666666555).

The spelling of 121313353434 in words is "one hundred twenty-one billion, three hundred thirteen million, three hundred fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 557 777 962 1114 1443 1554 1671 2886 3342 3367 3899 6734 7241 7798 10101 10781 11697 14482 20202 20609 21562 21723 23394 32343 41218 43446 50687 61827 64686 75467 101374 123654 140153 144263 150934 152061 226401 267917 280306 288526 304122 398897 420459 432789 452802 535834 797794 803751 840918 865578 981071 1196691 1607502 1875419 1962142 2393382 2792279 2943213 3750838 5185661 5584558 5626257 5886426 6005017 8376837 10371322 11252514 12010034 15556983 16753674 18015051 31113966 36030102 36299627 42035119 72599254 78065221 84070238 108898881 126105357 156130442 217797762 222185629 234195663 252210714 444371258 468391326 546456547 666556887 1092913094 1333113774 1555299403 1639369641 2888413177 3110598806 3278739282 4665898209 5776826354 8665239531 9331796418 17330479062 20218892239 40437784478 60656676717 121313353434