Search a number
-
+
111139729218 = 232717923321149
BaseRepresentation
bin110011110000001110…
…0011010111101000010
3101121212112000012221100
41213200130122331002
53310103232313333
6123020142035230
711013101053110
oct1474034327502
9347775005840
10111139729218
1143152530591
1219658578b16
13a63267b0ab
145544704ab0
152d571ca213
hex19e071af42

111139729218 has 96 divisors (see below), whose sum is σ = 277941456000. Its totient is φ = 31439801088.

The previous prime is 111139729213. The next prime is 111139729249. The reversal of 111139729218 is 812927931111.

111139729218 is a `hidden beast` number, since 11 + 11 + 397 + 29 + 218 = 666.

It is not an unprimeable number, because it can be changed into a prime (111139729213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5244508 + ... + 5265656.

It is an arithmetic number, because the mean of its divisors is an integer number (2895223500).

Almost surely, 2111139729218 is an apocalyptic number.

111139729218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111139729218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138970728000).

111139729218 is an abundant number, since it is smaller than the sum of its proper divisors (166801726782).

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

111139729218 is a wasteful number, since it uses less digits than its factorization.

111139729218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21576 (or 21573 counting only the distinct ones).

The product of its digits is 54432, while the sum is 45.

The spelling of 111139729218 in words is "one hundred eleven billion, one hundred thirty-nine million, seven hundred twenty-nine thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 233 358 466 537 699 1074 1253 1398 1611 1631 2097 2506 3222 3262 3759 4194 4893 7518 9786 11277 14679 21149 22554 29358 41707 42298 63447 83414 125121 126894 148043 190341 250242 291949 296086 375363 380682 444129 583898 750726 875847 888258 1332387 1751694 2627541 2664774 3785671 4927717 5255082 7571342 9855434 11357013 14783151 22714026 26499697 29566302 34071039 34494019 44349453 52999394 68142078 68988038 79499091 88698906 103482057 158998182 206964114 238497273 310446171 476994546 620892342 882061343 1764122686 2646184029 5292368058 6174429401 7938552087 12348858802 15877104174 18523288203 37046576406 55569864609 111139729218