Search a number
-
+
1201000002000 = 24353200166667
BaseRepresentation
bin10001011110100001001…
…011011011000111010000
311020210222202101110211120
4101132201023123013100
5124134122000031000
62315422022042240
7152524620402531
oct21364113330720
94223882343746
101201000002000
11423383211427
12174918579380
138933b825a76
14421b3276688
15213928bc6a0
hex117a12db1d0

1201000002000 has 80 divisors (see below), whose sum is σ = 3872024025792. Its totient is φ = 320266665600.

The previous prime is 1201000001909. The next prime is 1201000002049. The reversal of 1201000002000 is 2000001021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1201000002000.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 100077334 + ... + 100089333.

Almost surely, 21201000002000 is an apocalyptic number.

1201000002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201000002000 is an abundant number, since it is smaller than the sum of its proper divisors (2671024023792).

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

1201000002000 is a wasteful number, since it uses less digits than its factorization.

1201000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200166693 (or 200166677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1201000002000 its reverse (2000001021), we get a palindrome (1203000003021).

The spelling of 1201000002000 in words is "one trillion, two hundred one billion, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 200166667 400333334 600500001 800666668 1000833335 1201000002 1601333336 2001666670 2402000004 3002500005 3202666672 4003333340 4804000008 5004166675 6005000010 8006666680 9608000016 10008333350 12010000020 15012500025 16013333360 20016666700 24020000040 25020833375 30025000050 40033333400 48040000080 50041666750 60050000100 75062500125 80066666800 100083333500 120100000200 150125000250 200166667000 240200000400 300250000500 400333334000 600500001000 1201000002000