Search a number
-
+
155111066100 = 223352229250867
BaseRepresentation
bin1001000001110101010…
…1110000100111110100
3112211100221211120111000
42100131111300213310
510020131413103400
6155131304243300
714130540210414
oct2203525604764
9484327746430
10155111066100
115a867175821
122608a470530
131181c427723
1477164c4644
15407c674600
hex241d5709f4

155111066100 has 144 divisors (see below), whose sum is σ = 500832875200. Its totient is φ = 41182162560.

The previous prime is 155111066059. The next prime is 155111066101. The reversal of 155111066100 is 1660111551.

155111066100 is a `hidden beast` number, since 1 + 551 + 1 + 1 + 0 + 6 + 6 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155111066101) 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, 492867 + ... + 743733.

Almost surely, 2155111066100 is an apocalyptic number.

155111066100 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 155111066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250416437600).

155111066100 is an abundant number, since it is smaller than the sum of its proper divisors (345721809100).

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

155111066100 is a wasteful number, since it uses less digits than its factorization.

155111066100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251119 (or 251106 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 155111066100 its reverse (1660111551), we get a palindrome (156771177651).

The spelling of 155111066100 in words is "one hundred fifty-five billion, one hundred eleven million, sixty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 229 270 300 450 458 540 675 687 900 916 1145 1350 1374 2061 2290 2700 2748 3435 4122 4580 5725 6183 6870 8244 10305 11450 12366 13740 17175 20610 22900 24732 30915 34350 41220 51525 61830 68700 103050 123660 154575 206100 250867 309150 501734 618300 752601 1003468 1254335 1505202 2257803 2508670 3010404 3763005 4515606 5017340 6271675 6773409 7526010 9031212 11289015 12543350 13546818 15052020 18815025 22578030 25086700 27093636 33867045 37630050 45156060 56445075 57448543 67734090 75260100 112890150 114897086 135468180 169335225 172345629 225780300 229794172 287242715 338670450 344691258 517036887 574485430 677340900 689382516 861728145 1034073774 1148970860 1436213575 1551110661 1723456290 2068147548 2585184435 2872427150 3102221322 3446912580 4308640725 5170368870 5744854300 6204442644 7755553305 8617281450 10340737740 12925922175 15511106610 17234562900 25851844350 31022213220 38777766525 51703688700 77555533050 155111066100