Search a number
-
+
1012020021991 = 11319742017283
BaseRepresentation
bin11101011101000010001…
…10000000101011100111
310120202012102012210211201
432232201012000223213
5113040104111200431
62052525433143331
7133054541152636
oct16564106005347
93522172183751
101012020021991
11360216a12370
1214417755ab47
13745826207a4
1436da699751d
151b4d1b3e461
hexeba1180ae7

1012020021991 has 32 divisors (see below), whose sum is σ = 1151816472576. Its totient is φ = 880830720000.

The previous prime is 1012020021967. The next prime is 1012020022033. The reversal of 1012020021991 is 1991200202101.

It is not a de Polignac number, because 1012020021991 - 215 = 1012019989223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012020021931) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 138952836 + ... + 138960118.

It is an arithmetic number, because the mean of its divisors is an integer number (35994264768).

Almost surely, 21012020021991 is an apocalyptic number.

1012020021991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012020021991 is a deficient number, since it is larger than the sum of its proper divisors (139796450585).

1012020021991 is a wasteful number, since it uses less digits than its factorization.

1012020021991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11623.

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 1012020021991 in words is "one trillion, twelve billion, twenty million, twenty-one thousand, nine hundred ninety-one".

Divisors: 1 11 31 97 341 1067 3007 4201 7283 33077 46211 80113 130231 225773 407497 706451 1432541 2483503 4482467 7770961 12632407 21899981 30595883 138956477 240899791 336554713 948472373 2967800651 10433196103 32645807161 92001820181 1012020021991