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121310101134 = 232173711394819
BaseRepresentation
bin111000011111010100…
…1010011111010001110
3102121010022100122101200
41300332221103322032
53441420341214014
6131421252250330
711523114563145
oct1607651237216
9377108318350
10121310101134
11474a1431532
121b6166109a6
13b59374ac41
145c2b33675c
15324eedda09
hex1c3ea53e8e

121310101134 has 96 divisors (see below), whose sum is σ = 288353688480. Its totient is φ = 36701392896.

The previous prime is 121310101127. The next prime is 121310101153. The reversal of 121310101134 is 431101013121.

It is a happy number.

121310101134 is a `hidden beast` number, since 121 + 310 + 101 + 134 = 666.

It is a super-2 number, since 2×1213101011342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1231977 + ... + 1326795.

It is an arithmetic number, because the mean of its divisors is an integer number (3003684255).

Almost surely, 2121310101134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121310101134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144176844240).

121310101134 is an abundant number, since it is smaller than the sum of its proper divisors (167043587346).

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

121310101134 is a wasteful number, since it uses less digits than its factorization.

121310101134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94994 (or 94991 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121310101134 its reverse (431101013121), we get a palindrome (552411114255).

The spelling of 121310101134 in words is "one hundred twenty-one billion, three hundred ten million, one hundred one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 113 153 222 226 306 333 339 629 666 678 1017 1258 1887 1921 2034 3774 3842 4181 5661 5763 8362 11322 11526 12543 17289 25086 34578 37629 71077 75258 94819 142154 189638 213231 284457 426462 568914 639693 853371 1279386 1611923 1706742 3223846 3508303 4835769 7016606 9671538 10524909 10714547 14507307 21049818 21429094 29014614 31574727 32143641 59641151 63149454 64287282 96430923 119282302 178923453 182147299 192861846 357846906 364294598 396438239 536770359 546441897 792876478 1073540718 1092883794 1189314717 1639325691 2378629434 3278651382 3567944151 6739450063 7135888302 13478900126 20218350189 40436700378 60655050567 121310101134