Search a number
-
+
165601005161100 = 223521929052807923
BaseRepresentation
bin100101101001110011111101…
…000101100100101010001100
3210201100022010210001200222020
4211221303331011210222030
5133201201324310123400
61344112015044050140
746611164166466035
oct4551637505445214
9721308123050866
10165601005161100
1148846aa0227793
12166a6701693950
137153152a3c272
142cc71ba867a8c
1514229decb22a0
hex969cfd164a8c

165601005161100 has 72 divisors (see below), whose sum is σ = 504356745560640. Its totient is φ = 41836043407680.

The previous prime is 165601005161099. The next prime is 165601005161143. The reversal of 165601005161100 is 1161500106561.

165601005161100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1656010051611003 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14526398262 + ... + 14526409661.

Almost surely, 2165601005161100 is an apocalyptic number.

165601005161100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165601005161100 is an abundant number, since it is smaller than the sum of its proper divisors (338755740399540).

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

165601005161100 is a wasteful number, since it uses less digits than its factorization.

165601005161100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29052807959 (or 29052807952 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

Adding to 165601005161100 its reverse (1161500106561), we get a palindrome (166762505267661).

The spelling of 165601005161100 in words is "one hundred sixty-five trillion, six hundred one billion, five million, one hundred sixty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 29052807923 58105615846 87158423769 116211231692 145264039615 174316847538 290528079230 348633695076 435792118845 552003350537 581056158460 726320198075 871584237690 1104006701074 1452640396150 1656010051611 1743168475380 2178960594225 2208013402148 2760016752685 2905280792300 3312020103222 4357921188450 5520033505370 6624040206444 8280050258055 8715842376900 11040067010740 13800083763425 16560100516110 27600167526850 33120201032220 41400251290275 55200335053700 82800502580550 165601005161100