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311311212303 = 372137914331439
BaseRepresentation
bin1001000011110111001…
…10000001111100001111
31002202112210222011000010
410201323212001330033
520100031132243203
6355003035404303
731330403433600
oct4417346017417
91082483864003
10311311212303
11110032077543
12504015b3693
132348337b640
14110d34a3da7
158170724303
hex487b981f0f

311311212303 has 96 divisors (see below), whose sum is σ = 527308185600. Its totient is φ = 161903798784.

The previous prime is 311311212299. The next prime is 311311212307. The reversal of 311311212303 is 303212113113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311311212299) and next prime (311311212307).

It is not a de Polignac number, because 311311212303 - 22 = 311311212299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 311311212303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311311212307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216337858 + ... + 216339296.

It is an arithmetic number, because the mean of its divisors is an integer number (5492793600).

Almost surely, 2311311212303 is an apocalyptic number.

311311212303 is a deficient number, since it is larger than the sum of its proper divisors (215996973297).

311311212303 is a wasteful number, since it uses less digits than its factorization.

311311212303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 311311212303 its reverse (303212113113), we get a palindrome (614523325416).

The spelling of 311311212303 in words is "three hundred eleven billion, three hundred eleven million, two hundred twelve thousand, three hundred three".

Divisors: 1 3 7 13 21 39 49 79 91 147 237 273 553 637 1027 1433 1439 1659 1911 3081 3871 4299 4317 7189 10031 10073 11613 18629 18707 21567 30093 30219 50323 55887 56121 70217 70511 113207 113681 130403 130949 150969 210651 211533 339621 341043 391209 392847 792449 795767 912821 916643 1471691 1477853 2062087 2377347 2387301 2738463 2749929 4415073 4433559 5547143 5570369 6186261 10301837 10344971 14434609 16641429 16711107 26807131 30905511 31034913 43303827 72112859 72414797 80421393 101042263 162904873 187649917 216338577 217244391 303126789 488714619 562949751 1140334111 1313549419 2117763349 3421002333 3940648257 6353290047 7982338777 14824343443 23947016331 44473030329 103770404101 311311212303