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1311241356016 = 243789179139033
BaseRepresentation
bin10011000101001100000…
…100110100001011110000
311122100112122221111200021
4103011030010310023300
5132440410241343031
62442213112533224
7163506532425154
oct23051404641360
94570478844607
101311241356016
1146610461a369
121921640b1214
139685a028ba7
1447670525064
1524195c8c511
hex1314c1342f0

1311241356016 has 80 divisors (see below), whose sum is σ = 2653269242400. Its totient is φ = 627205607424.

The previous prime is 1311241356013. The next prime is 1311241356037. The reversal of 1311241356016 is 6106531421131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311241356013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9361636 + ... + 9500668.

It is an arithmetic number, because the mean of its divisors is an integer number (33165865530).

Almost surely, 21311241356016 is an apocalyptic number.

1311241356016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1311241356016 is an abundant number, since it is smaller than the sum of its proper divisors (1342027886384).

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

1311241356016 is a wasteful number, since it uses less digits than its factorization.

1311241356016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139346 (or 139340 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 1311241356016 its reverse (6106531421131), we get a palindrome (7417772777147).

The spelling of 1311241356016 in words is "one trillion, three hundred eleven billion, two hundred forty-one million, three hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 16 37 74 89 148 178 179 296 356 358 592 712 716 1424 1432 2864 3293 6586 6623 13172 13246 15931 26344 26492 31862 52688 52984 63724 105968 127448 139033 254896 278066 556132 589447 1112264 1178894 2224528 2357788 4715576 5144221 9431152 10288442 12373937 20576884 24747874 24886907 41153768 49495748 49773814 82307536 98991496 99547628 197982992 199095256 398190512 457835669 915671338 920815559 1831342676 1841631118 2214934723 3662685352 3683262236 4429869446 7325370704 7366524472 8859738892 14733048944 17719477784 35438955568 81952584751 163905169502 327810339004 655620678008 1311241356016