Search a number
-
+
1012032112200 = 233521686720187
BaseRepresentation
bin11101011101000011101…
…00001000011001001000
310120202020020222001111020
432232201310020121020
5113040120210042300
62052530544232440
7133055046006234
oct16564164103110
93522206861436
101012032112200
1136022281a97a
1214417b60b720
1374584c94865
1436da84235c4
151b4d2c2b8a0
hexeba1d08648

1012032112200 has 48 divisors (see below), whose sum is σ = 3137299549680. Its totient is φ = 269875229760.

The previous prime is 1012032112187. The next prime is 1012032112207. The reversal of 1012032112200 is 22112302101.

It is a super-2 number, since 2×10120321122002 (a number of 25 digits) contains 22 as substring.

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 1012032112200.

It is not an unprimeable number, because it can be changed into a prime (1012032112207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 843359494 + ... + 843360693.

It is an arithmetic number, because the mean of its divisors is an integer number (65360407285).

Almost surely, 21012032112200 is an apocalyptic number.

1012032112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012032112200 is an abundant number, since it is smaller than the sum of its proper divisors (2125267437480).

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

1012032112200 is a wasteful number, since it uses less digits than its factorization.

1012032112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686720206 (or 1686720197 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1012032112200 its reverse (22112302101), we get a palindrome (1034144414301).

The spelling of 1012032112200 in words is "one trillion, twelve billion, thirty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1686720187 3373440374 5060160561 6746880748 8433600935 10120321122 13493761496 16867201870 20240642244 25300802805 33734403740 40481284488 42168004675 50601605610 67468807480 84336009350 101203211220 126504014025 168672018700 202406422440 253008028050 337344037400 506016056100 1012032112200