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165413024100 = 22345245192
BaseRepresentation
bin1001101000001101100…
…0100111000101100100
3120210221220210021010000
42122003120213011210
510202231213232400
6203553435101300
714644042335402
oct2320330470544
9523856707100
10165413024100
11641733812a5
12280845a1830
13127a1849c6c
1480127aa472
154481ccb600
hex2683627164

165413024100 has 135 divisors (see below), whose sum is σ = 536322357417. Its totient is φ = 44100378720.

The previous prime is 165413024071. The next prime is 165413024111. The reversal of 165413024100 is 1420314561.

It is a happy number.

The square root of 165413024100 is 406710.

It is a perfect power (a square), and thus also a powerful number.

165413024100 is a `hidden beast` number, since 1 + 6 + 5 + 413 + 0 + 241 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59548688676 + 105864335424 = 244026^2 + 325368^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×1654130241002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36601641 + ... + 36606159.

Almost surely, 2165413024100 is an apocalyptic number.

165413024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165413024100 is the 406710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165413024100

165413024100 is an abundant number, since it is smaller than the sum of its proper divisors (370909333317).

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

165413024100 is an frugal number, since it uses more digits than its factorization.

165413024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 165413024100 its reverse (1420314561), we get a palindrome (166833338661).

The spelling of 165413024100 in words is "one hundred sixty-five billion, four hundred thirteen million, twenty-four 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 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 4519 8100 9038 13557 18076 22595 27114 40671 45190 54228 67785 81342 90380 112975 122013 135570 162684 203355 225950 244026 271140 338925 366039 406710 451900 488052 610065 677850 732078 813420 1016775 1220130 1355700 1464156 1830195 2033550 2440260 3050325 3660390 4067100 6100650 7320780 9150975 12201300 18301950 20421361 36603900 40842722 61264083 81685444 102106805 122528166 183792249 204213610 245056332 306320415 367584498 408427220 510534025 551376747 612640830 735168996 918961245 1021068050 1102753494 1225281660 1531602075 1654130241 1837922490 2042136100 2205506988 2756883735 3063204150 3308260482 3675844980 4594806225 5513767470 6126408300 6616520964 8270651205 9189612450 11027534940 13784418675 16541302410 18379224900 27568837350 33082604820 41353256025 55137674700 82706512050 165413024100