Search a number
-
+
16021112100 = 22352715748593
BaseRepresentation
bin11101110101110111…
…01100010100100100
31112100112112211011020
432322323230110210
5230302401041400
611205432011140
71105006130430
oct167273542444
945315484136
1016021112100
116881555714
123131530ab0
1316842688b6
14abdaa99c0
1563b7b62a0
hex3baeec524

16021112100 has 144 divisors (see below), whose sum is σ = 53315004288. Its totient is φ = 3638568960.

The previous prime is 16021112059. The next prime is 16021112119. The reversal of 16021112100 is 121112061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 16021112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305404 + ... + 353996.

Almost surely, 216021112100 is an apocalyptic number.

16021112100 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 16021112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26657502144).

16021112100 is an abundant number, since it is smaller than the sum of its proper divisors (37293892188).

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

16021112100 is a wasteful number, since it uses less digits than its factorization.

16021112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48774 (or 48767 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 16021112100 its reverse (121112061), we get a palindrome (16142224161).

The spelling of 16021112100 in words is "sixteen billion, twenty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 157 175 210 300 314 350 420 471 525 628 700 785 942 1050 1099 1570 1884 2100 2198 2355 3140 3297 3925 4396 4710 5495 6594 7850 9420 10990 11775 13188 15700 16485 21980 23550 27475 32970 47100 48593 54950 65940 82425 97186 109900 145779 164850 194372 242965 291558 329700 340151 485930 583116 680302 728895 971860 1020453 1214825 1360604 1457790 1700755 2040906 2429650 2915580 3401510 3644475 4081812 4859300 5102265 6803020 7288950 7629101 8503775 10204530 14577900 15258202 17007550 20409060 22887303 25511325 30516404 34015100 38145505 45774606 51022650 53403707 76291010 91549212 102045300 106807414 114436515 152582020 160211121 190727525 213614828 228873030 267018535 320422242 381455050 457746060 534037070 572182575 640844484 762910100 801055605 1068074140 1144365150 1335092675 1602111210 2288730300 2670185350 3204222420 4005278025 5340370700 8010556050 16021112100