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1311320144310 = 2351133773117659
BaseRepresentation
bin10011000101010000110…
…001010111100110110110
311122100202011012100220020
4103011100301113212312
5132441040424104220
62442225005350010
7163511510213511
oct23052061274666
94570664170806
101311320144310
11466145043160
12192186568306
1396870453897
144767ab93d78
152419cb52040
hex13150c579b6

1311320144310 has 64 divisors (see below), whose sum is σ = 3433405397760. Its totient is φ = 317883678080.

The previous prime is 1311320144279. The next prime is 1311320144317. The reversal of 1311320144310 is 134410231131.

It is a happy number.

It is a super-2 number, since 2×13113201443102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311320144317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11086261 + ... + 11203919.

It is an arithmetic number, because the mean of its divisors is an integer number (53646959340).

Almost surely, 21311320144310 is an apocalyptic number.

1311320144310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311320144310 is an abundant number, since it is smaller than the sum of its proper divisors (2122085253450).

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

1311320144310 is a wasteful number, since it uses less digits than its factorization.

1311320144310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151453.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1311320144310 its reverse (134410231131), we get a palindrome (1445730375441).

The spelling of 1311320144310 in words is "one trillion, three hundred eleven billion, three hundred twenty million, one hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 33773 67546 101319 117659 168865 202638 235318 337730 352977 371503 506595 588295 705954 743006 1013190 1114509 1176590 1294249 1764885 1857515 2229018 2588498 3529770 3715030 3882747 5572545 6471245 7765494 11145090 12942490 19413735 38827470 3973697407 7947394814 11921092221 19868487035 23842184442 39736974070 43710671477 59605461105 87421342954 119210922210 131132014431 218553357385 262264028862 437106714770 655660072155 1311320144310