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116134214300 = 225213260711321
BaseRepresentation
bin110110000101000100…
…0110111101010011100
3102002202121000100110022
41230022020313222130
53400320324324200
6125203515131312
711250625351106
oct1541210675234
9362677010408
10116134214300
1145285811105
121a611143b38
13ac4a328700
145899b6c576
15304a8e2885
hex1b0a237a9c

116134214300 has 108 divisors (see below), whose sum is σ = 273361628736. Its totient is φ = 42805900800.

The previous prime is 116134214299. The next prime is 116134214347. The reversal of 116134214300 is 3412431611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 116134214300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10252640 + ... + 10263960.

It is an arithmetic number, because the mean of its divisors is an integer number (2531126192).

Almost surely, 2116134214300 is an apocalyptic number.

116134214300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116134214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136680814368).

116134214300 is an abundant number, since it is smaller than the sum of its proper divisors (157227414436).

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

116134214300 is a wasteful number, since it uses less digits than its factorization.

116134214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968 (or 11948 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 116134214300 its reverse (3412431611), we get a palindrome (119546645911).

The spelling of 116134214300 in words is "one hundred sixteen billion, one hundred thirty-four million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 607 650 676 845 1214 1300 1690 2428 3035 3380 4225 6070 7891 8450 11321 12140 15175 15782 16900 22642 30350 31564 39455 45284 56605 60700 78910 102583 113210 147173 157820 197275 205166 226420 283025 294346 394550 410332 512915 566050 588692 735865 789100 1025830 1132100 1471730 1913249 2051660 2564575 2943460 3679325 3826498 5129150 6871847 7358650 7652996 9566245 10258300 13743694 14717300 19132490 27487388 34359235 38264980 47831225 68718470 89334011 95662450 137436940 171796175 178668022 191324900 343592350 357336044 446670055 687184700 893340110 1161342143 1786680220 2233350275 2322684286 4466700550 4645368572 5806710715 8933401100 11613421430 23226842860 29033553575 58067107150 116134214300