Search a number
-
+
10020202201200 = 2435278231067387
BaseRepresentation
bin1001000111010000001010…
…0101111100000001110000
31022110220220010020101222110
42101310002211330001300
52303132333230414300
633151114540205320
72052635644254132
oct221640245740160
938426803211873
1010020202201200
1132135a8a09874
121159b95539840
13578b936ab329
14268da220b052
151259ad800550
hex91d0297c070

10020202201200 has 120 divisors (see below), whose sum is σ = 32102180828928. Its totient is φ = 2671709853440.

The previous prime is 10020202201189. The next prime is 10020202201253. The reversal of 10020202201200 is 210220202001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8853907 + ... + 9921293.

Almost surely, 210020202201200 is an apocalyptic number.

10020202201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020202201200 is an abundant number, since it is smaller than the sum of its proper divisors (22081978627728).

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

10020202201200 is a wasteful number, since it uses less digits than its factorization.

10020202201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075231 (or 1075220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020202201200 its reverse (210220202001), we get a palindrome (10230422403201).

The spelling of 10020202201200 in words is "ten trillion, twenty billion, two hundred two million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 7823 15646 23469 31292 39115 46938 62584 78230 93876 117345 125168 156460 187752 195575 234690 312920 375504 391150 469380 586725 625840 782300 938760 1067387 1173450 1564600 1877520 2134774 2346900 3129200 3202161 4269548 4693800 5336935 6404322 8539096 9387600 10673870 12808644 16010805 17078192 21347740 25617288 26684675 32021610 42695480 51234576 53369350 64043220 80054025 85390960 106738700 128086440 160108050 213477400 256172880 320216100 426954800 640432200 1280864400 8350168501 16700337002 25050505503 33400674004 41750842505 50101011006 66801348008 83501685010 100202022012 125252527515 133602696016 167003370020 200404044024 208754212525 250505055030 334006740040 400808088048 417508425050 501010110060 626262637575 668013480080 835016850100 1002020220120 1252525275150 1670033700200 2004040440240 2505050550300 3340067400400 5010101100600 10020202201200