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1310112405 = 325759157449
BaseRepresentation
bin100111000010110…
…1011101010010101
310101022012121100200
41032011223222111
510140342044110
6334000131113
744315525460
oct11605535225
93338177320
101310112405
11612584928
12306906a99
1317b568a54
14c5dd42d7
157a03b6c0
hex4e16ba95

1310112405 has 96 divisors (see below), whose sum is σ = 2661984000. Its totient is φ = 583704576.

The previous prime is 1310112389. The next prime is 1310112409. The reversal of 1310112405 is 5042110131.

It is not a de Polignac number, because 1310112405 - 24 = 1310112389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310112409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2917621 + ... + 2918069.

It is an arithmetic number, because the mean of its divisors is an integer number (27729000).

Almost surely, 21310112405 is an apocalyptic number.

1310112405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1310112405 is an abundant number, since it is smaller than the sum of its proper divisors (1351871595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310112405 is a wasteful number, since it uses less digits than its factorization.

1310112405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1310112405 is about 36195.4749243604. The cubic root of 1310112405 is about 1094.2154760850.

Adding to 1310112405 its reverse (5042110131), we get a palindrome (6352222536).

The spelling of 1310112405 in words is "one billion, three hundred ten million, one hundred twelve thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 157 177 295 315 413 449 471 531 785 885 1099 1239 1347 1413 2065 2245 2355 2655 3143 3297 3717 4041 5495 6195 6735 7065 9263 9429 9891 15715 16485 18585 20205 26491 27789 28287 46315 47145 49455 64841 70493 79473 83367 132455 138945 141435 185437 194523 211479 238419 324205 352465 397365 416835 493451 556311 583569 634437 927185 972615 1057395 1192095 1480353 1668933 2467255 2781555 2917845 3172185 4159087 4441059 7401765 8344665 12477261 20795435 22205295 29113609 37431783 62386305 87340827 145568045 187158915 262022481 436704135 1310112405