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1310311210340 = 22511173311058461
BaseRepresentation
bin10011000100010100101…
…000100101110101100100
311122021010211201012200102
4103010110220211311210
5132432004132212330
62441540524403232
7163444506343166
oct23042450456544
94567124635612
101310311210340
11465777578130
12191b446a6518
139673c409132
14475c2b9c936
152413e2a8945
hex13114a25d64

1310311210340 has 96 divisors (see below), whose sum is σ = 3187985931648. Its totient is φ = 447093504000.

The previous prime is 1310311210339. The next prime is 1310311210349. The reversal of 1310311210340 is 430121130131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1310311210349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708710 + ... + 1767170.

It is an arithmetic number, because the mean of its divisors is an integer number (33208186788).

Almost surely, 21310311210340 is an apocalyptic number.

1310311210340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310311210340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593992965824).

1310311210340 is an abundant number, since it is smaller than the sum of its proper divisors (1877674721308).

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

1310311210340 is a wasteful number, since it uses less digits than its factorization.

1310311210340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058829 (or 1058827 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1310311210340 its reverse (430121130131), we get a palindrome (1740432340471).

The spelling of 1310311210340 in words is "one trillion, three hundred ten billion, three hundred eleven million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 331 340 374 662 748 935 1324 1655 1870 3310 3641 3740 5627 6620 7282 11254 14564 18205 22508 28135 36410 56270 61897 72820 112540 123794 247588 309485 618970 1058461 1237940 2116922 4233844 5292305 10584610 11643071 17993837 21169220 23286142 35987674 46572284 58215355 71975348 89969185 116430710 179938370 197932207 232861420 350350591 359876740 395864414 700701182 791728828 989661035 1401402364 1751752955 1979322070 3503505910 3853856501 3958644140 5955960047 7007011820 7707713002 11911920094 15415426004 19269282505 23823840188 29779800235 38538565010 59559600470 65515560517 77077130020 119119200940 131031121034 262062242068 327577802585 655155605170 1310311210340