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311044311112520 = 235110930781227797
BaseRepresentation
bin100011010111001001010010…
…1101011000101101101001000
31111210022112201211210000021002
41012232102211223011231020
5311232122222121100040
63021311441152434132
7122342131664132366
oct10656224553055510
91453275654700232
10311044311112520
1190121173795087
122aa7657a548948
1310473477abb97b
1456b48a6d56636
1525e5e9a22ba15
hex11ae4a5ac5b48

311044311112520 has 64 divisors (see below), whose sum is σ = 700506595796400. Its totient is φ = 124300951280640.

The previous prime is 311044311112519. The next prime is 311044311112583. The reversal of 311044311112520 is 25211113440113.

It can be written as a sum of positive squares in 8 ways, for example, as 2194125262564 + 308850185849956 = 1481258^2 + 17574134^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365331262 + ... + 1365559058.

Almost surely, 2311044311112520 is an apocalyptic number.

It is an amenable number.

311044311112520 is an abundant number, since it is smaller than the sum of its proper divisors (389462284683880).

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

311044311112520 is a wasteful number, since it uses less digits than its factorization.

311044311112520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259698 (or 259694 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 311044311112520 its reverse (25211113440113), we get a palindrome (336255424552633).

The spelling of 311044311112520 in words is "three hundred eleven trillion, forty-four billion, three hundred eleven million, one hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1109 2218 4436 5545 8872 11090 22180 30781 44360 61562 123124 153905 227797 246248 307810 455594 615620 911188 1138985 1231240 1822376 2277970 4555940 9111880 34136129 68272258 136544516 170680645 252626873 273089032 341361290 505253746 682722580 1010507492 1263134365 1365445160 2021014984 2526268730 5052537460 7011819457 10105074920 14023638914 28047277828 35059097285 56094555656 70118194570 140236389140 280472778280 7776107777813 15552215555626 31104431111252 38880538889065 62208862222504 77761077778130 155522155556260 311044311112520