Search a number
-
+
1013010042255 = 351749920173947
BaseRepresentation
bin11101011110111000001…
…10101000110110001111
310120211202102010001022220
432233130012220312033
5113044121032323010
62053212000510423
7133121222200251
oct16573406506617
93524672101286
101013010042255
1136068483a232
121443b301b413
13746ac7753b3
143705c267cd1
151b53d9ed970
hexebdc1a8d8f

1013010042255 has 64 divisors (see below), whose sum is σ = 1720885824000. Its totient is φ = 507092189184.

The previous prime is 1013010042251. The next prime is 1013010042281. The reversal of 1013010042255 is 5522400103101.

It is a happy number.

It is a Cunningham number, because it is equal to 10064842-1.

It is not a de Polignac number, because 1013010042255 - 22 = 1013010042251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013010042251) 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 63 ways as a sum of consecutive naturals, for example, 256651192 + ... + 256655138.

It is an arithmetic number, because the mean of its divisors is an integer number (26888841000).

Almost surely, 21013010042255 is an apocalyptic number.

1013010042255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1013010042255 is a deficient number, since it is larger than the sum of its proper divisors (707875781745).

1013010042255 is a wasteful number, since it uses less digits than its factorization.

1013010042255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1013010042255 its reverse (5522400103101), we get a palindrome (6535410145356).

The spelling of 1013010042255 in words is "one trillion, thirteen billion, ten million, forty-two thousand, two hundred fifty-five".

Divisors: 1 3 5 15 17 51 85 255 499 1497 2017 2495 3947 6051 7485 8483 10085 11841 19735 25449 30255 34289 42415 59205 67099 102867 127245 171445 201297 335495 514335 1006483 1006485 1969553 3019449 5032415 5908659 7961099 9847765 15097245 17110211 23883297 29543295 33482401 39805495 51330633 85551055 100447203 119416485 135338683 167412005 256653165 406016049 502236015 676693415 2030080245 3972588401 11917765203 19862942005 59588826015 67534002817 202602008451 337670014085 1013010042255