Search a number
-
+
2002201121200 = 245276111722489
BaseRepresentation
bin11101001000101100011…
…111001001000110110000
321002102000211122101121111
4131020230133021012300
5230301001441334300
64131444250403104
7264440260504030
oct35105437110660
97072024571544
102002201121200
11702146376815
12284059130494
13116a64599157
146cc9ad3d8c0
153713636b9ba
hex1d22c7c91b0

2002201121200 has 120 divisors (see below), whose sum is σ = 5587595193440. Its totient is φ = 675215308800.

The previous prime is 2002201121183. The next prime is 2002201121237. The reversal of 2002201121200 is 21211022002.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 5690445 + ... + 6032044.

Almost surely, 22002201121200 is an apocalyptic number.

2002201121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002201121200 is an abundant number, since it is smaller than the sum of its proper divisors (3585394072240).

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

2002201121200 is a wasteful number, since it uses less digits than its factorization.

2002201121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722575 (or 11722564 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002201121200 its reverse (21211022002), we get a palindrome (2023412143202).

The spelling of 2002201121200 in words is "two trillion, two billion, two hundred one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 61 70 80 100 112 122 140 175 200 244 280 305 350 400 427 488 560 610 700 854 976 1220 1400 1525 1708 2135 2440 2800 3050 3416 4270 4880 6100 6832 8540 10675 12200 17080 21350 24400 34160 42700 85400 170800 11722489 23444978 46889956 58612445 82057423 93779912 117224890 164114846 187559824 234449780 293062225 328229692 410287115 468899560 586124450 656459384 715071829 820574230 937799120 1172248900 1312918768 1430143658 1641148460 2051435575 2344497800 2860287316 3282296920 3575359145 4102871150 4688995600 5005502803 5720574632 6564593840 7150718290 8205742300 10011005606 11441149264 14301436580 16411484600 17876795725 20022011212 25027514015 28602873160 32822969200 35753591450 40044022424 50055028030 57205746320 71507182900 80088044848 100110056060 125137570075 143014365800 200220112120 250275140150 286028731600 400440224240 500550280300 1001100560600 2002201121200