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1010131352241 = 31156599540823
BaseRepresentation
bin11101011001100001000…
…01010011101010110001
310120120022210100110000020
432230300201103222301
5113022222111232431
62052014204314053
7132656665553064
oct16546041235261
93516283313006
101010131352241
1135a4378a5880
1214392ab42929
137434125611b
1436c67bdc8db
151b420e1d696
hexeb30853ab1

1010131352241 has 16 divisors (see below), whose sum is σ = 1469310643200. Its totient is φ = 612188871120.

The previous prime is 1010131352231. The next prime is 1010131352311. The reversal of 1010131352241 is 1422531310101.

It is not a de Polignac number, because 1010131352241 - 213 = 1010131344049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010131352231) 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 15 ways as a sum of consecutive naturals, for example, 1597356 + ... + 2138178.

It is an arithmetic number, because the mean of its divisors is an integer number (91831915200).

Almost surely, 21010131352241 is an apocalyptic number.

1010131352241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010131352241 is a deficient number, since it is larger than the sum of its proper divisors (459179290959).

1010131352241 is a wasteful number, since it uses less digits than its factorization.

1010131352241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597436.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 1010131352241 its reverse (1422531310101), we get a palindrome (2432662662342).

The spelling of 1010131352241 in words is "one trillion, ten billion, one hundred thirty-one million, three hundred fifty-two thousand, two hundred forty-one".

Divisors: 1 3 11 33 56599 169797 540823 622589 1622469 1867767 5949053 17847159 30610040977 91830122931 336710450747 1010131352241