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1310211101320 = 235112270704773
BaseRepresentation
bin10011000100001110101…
…010101101001010001000
311122020212212100010220221
4103010032222231022020
5132431303020220240
62441522550555424
7163442152415152
oct23041652551210
94566785303827
101310211101320
11465726011800
12191b17068b74
1396724757b24
14475b377dad2
15241355d1a4a
hex1310eaad288

1310211101320 has 48 divisors (see below), whose sum is σ = 3240336144780. Its totient is φ = 476440398720.

The previous prime is 1310211101299. The next prime is 1310211101371. The reversal of 1310211101320 is 231011120131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1093358827044 + 216852274276 = 1045638^2 + 465674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1310211101294 and 1310211101303.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 135347547 + ... + 135357226.

Almost surely, 21310211101320 is an apocalyptic number.

1310211101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310211101320 is an abundant number, since it is smaller than the sum of its proper divisors (1930125043460).

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

1310211101320 is a wasteful number, since it uses less digits than its factorization.

1310211101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270704806 (or 270704791 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1310211101320 its reverse (231011120131), we get a palindrome (1541222221451).

The spelling of 1310211101320 in words is "one trillion, three hundred ten billion, two hundred eleven million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 270704773 541409546 1082819092 1353523865 2165638184 2707047730 2977752503 5414095460 5955505006 10828190920 11911010012 14888762515 23822020024 29777525030 32755277533 59555050060 65510555066 119110100120 131021110132 163776387665 262042220264 327552775330 655105550660 1310211101320