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1020310312311 = 323179175326407
BaseRepresentation
bin11101101100011110011…
…10111101010101110111
310121112121011212012012100
432312033032331111313
5113204043414443221
62100420222553143
7133500145362363
oct16661716752567
93545534765170
101020310312311
11363790632174
121458aba387b3
13752a4042014
1437551a282a3
151b81987b926
hexed8f3bd577

1020310312311 has 48 divisors (see below), whose sum is σ = 1541517352960. Its totient is φ = 649536900480.

The previous prime is 1020310312291. The next prime is 1020310312313. The reversal of 1020310312311 is 1132130130201.

1020310312311 is a `hidden beast` number, since 10 + 2 + 0 + 31 + 0 + 312 + 311 = 666.

It is not a de Polignac number, because 1020310312311 - 219 = 1020309788023 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020310312313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38624670 + ... + 38651076.

Almost surely, 21020310312311 is an apocalyptic number.

1020310312311 is a deficient number, since it is larger than the sum of its proper divisors (521207040649).

1020310312311 is a wasteful number, since it uses less digits than its factorization.

1020310312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28276 (or 28273 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1020310312311 its reverse (1132130130201), we get a palindrome (2152440442512).

The spelling of 1020310312311 in words is "one trillion, twenty billion, three hundred ten million, three hundred twelve thousand, three hundred eleven".

Divisors: 1 3 9 31 79 93 237 279 711 1753 2449 5259 7347 15777 22041 26407 54343 79221 138487 163029 237663 415461 489087 818617 1246383 2086153 2455851 4293097 6258459 7367553 12879291 18775377 38637873 46291471 64670743 138874413 194012229 416623239 582036687 1435035601 3657026209 4305106803 10971078627 12915320409 32913235881 113367812479 340103437437 1020310312311