Search a number
-
+
1012020000213 = 31273393178283
BaseRepresentation
bin11101011101000010001…
…01111011010111010101
310120202012102011200222010
432232201011323113111
5113040104110001323
62052525432454433
7133054541032305
oct16564105732725
93522172150863
101012020000213
113602169a7a72
1214417754a419
13745826138c1
1436da698d605
151b4d1b37c93
hexeba117b5d5

1012020000213 has 16 divisors (see below), whose sum is σ = 1360042336256. Its totient is φ = 669339281520.

The previous prime is 1012020000209. The next prime is 1012020000221. The reversal of 1012020000213 is 3120000202101.

It is not a de Polignac number, because 1012020000213 - 22 = 1012020000209 is a prime.

It is a super-2 number, since 2×10120200002132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012020000293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12888570 + ... + 12966852.

It is an arithmetic number, because the mean of its divisors is an integer number (85002646016).

Almost surely, 21012020000213 is an apocalyptic number.

It is an amenable number.

1012020000213 is a deficient number, since it is larger than the sum of its proper divisors (348022336043).

1012020000213 is a wasteful number, since it uses less digits than its factorization.

1012020000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112344.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1012020000213 its reverse (3120000202101), we get a palindrome (4132020202314).

The spelling of 1012020000213 in words is "one trillion, twelve billion, twenty million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 127 381 33931 78283 101793 234849 4309237 9941941 12927711 29825823 2656220473 7968661419 337340000071 1012020000213