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10312461053141 = 135491714444821
BaseRepresentation
bin1001011000010000111010…
…0100111110110011010101
31100111212021010211100221012
42112010032210332303111
52322424410012200031
633533251301502005
72113023253436642
oct226041644766325
940455233740835
1010312461053141
113316543467a45
1211a675a411905
1359a5cb7b8650
142791a91c6dc9
1512d3b6595b2b
hex9610e93ecd5

10312461053141 has 8 divisors (see below), whose sum is σ = 11105930284344. Its totient is φ = 9519020821440.

The previous prime is 10312461053131. The next prime is 10312461053177. The reversal of 10312461053141 is 14135016421301.

10312461053141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 204194630641 + 10108266422500 = 451879^2 + 3179350^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-10312461053141 is a prime.

It is a super-3 number, since 3×103124610531413 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10312461053098 and 10312461053107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312461053131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6508490 + ... + 7936331.

It is an arithmetic number, because the mean of its divisors is an integer number (1388241285543).

Almost surely, 210312461053141 is an apocalyptic number.

It is an amenable number.

10312461053141 is a deficient number, since it is larger than the sum of its proper divisors (793469231203).

10312461053141 is a wasteful number, since it uses less digits than its factorization.

10312461053141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14499751.

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 10312461053141 its reverse (14135016421301), we get a palindrome (24447477474442).

The spelling of 10312461053141 in words is "ten trillion, three hundred twelve billion, four hundred sixty-one million, fifty-three thousand, one hundred forty-one".

Divisors: 1 13 54917 713921 14444821 187782673 793266234857 10312461053141