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1012120430541 = 311538910363127
BaseRepresentation
bin11101011101001110001…
…01000010011111001101
310120202110102011002110220
432232213011002133031
5113040310312234131
62052543421221553
7133060200466143
oct16564705023715
93522412132426
101012120430541
11360268662840
121441a51018b9
137459a37822c
1436db6053593
151b4da874e96
hexeba71427cd

1012120430541 has 64 divisors (see below), whose sum is σ = 1531555983360. Its totient is φ = 589283735040.

The previous prime is 1012120430537. The next prime is 1012120430551. The reversal of 1012120430541 is 1450340212101.

It is not a de Polignac number, because 1012120430541 - 22 = 1012120430537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012120430551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16001520 + ... + 16064646.

It is an arithmetic number, because the mean of its divisors is an integer number (23930562240).

Almost surely, 21012120430541 is an apocalyptic number.

1012120430541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012120430541 is a deficient number, since it is larger than the sum of its proper divisors (519435552819).

1012120430541 is a wasteful number, since it uses less digits than its factorization.

1012120430541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63386.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1012120430541 its reverse (1450340212101), we get a palindrome (2462460642642).

The spelling of 1012120430541 in words is "one trillion, twelve billion, one hundred twenty million, four hundred thirty thousand, five hundred forty-one".

Divisors: 1 3 11 33 53 89 103 159 267 309 583 979 1133 1749 2937 3399 4717 5459 9167 14151 16377 27501 51887 60049 63127 100837 155661 180147 189381 302511 485851 694397 1457553 2083191 3345731 5344361 5618303 6502081 10037193 16033083 16854909 19506243 36803041 61801333 71522891 110409123 185403999 214568673 297770059 344610293 578685209 893310177 1033830879 1736055627 3275470649 3790713223 6365537299 9826411947 11372139669 19096611897 30670316077 92010948231 337373476847 1012120430541