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311304451132660 = 225149461226604297
BaseRepresentation
bin100011011001000010011011…
…1001110100000110011110100
31111211020102012110010021000211
41012302010313032200303310
5311300403003442221120
63022031142432115204
7122400001334620156
oct10662046716406364
91454212173107024
10311304451132660
1190211526a79567
122aab8a7a995b04
1310491b6488157b
1456c3304338ad6
1525ecb2336125a
hex11b21373a0cf4

311304451132660 has 48 divisors (see below), whose sum is σ = 659554469758800. Its totient is φ = 123417763773440.

The previous prime is 311304451132603. The next prime is 311304451132663. The reversal of 311304451132660 is 66231154403113.

It can be written as a sum of positive squares in 8 ways, for example, as 7726865516176 + 303577585616484 = 2779724^2 + 17423478^2 .

It is a super-2 number, since 2×3113044511326602 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311304451132663) by changing a digit.

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, 111928369 + ... + 114675928.

It is an arithmetic number, because the mean of its divisors is an integer number (13740718119975).

Almost surely, 2311304451132660 is an apocalyptic number.

It is an amenable number.

311304451132660 is an abundant number, since it is smaller than the sum of its proper divisors (348250018626140).

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

311304451132660 is a wasteful number, since it uses less digits than its factorization.

311304451132660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226604916 (or 226604914 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 311304451132660 in words is "three hundred eleven trillion, three hundred four billion, four hundred fifty-one million, one hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 149 298 461 596 745 922 1490 1844 2305 2980 4610 9220 68689 137378 274756 343445 686890 1373780 226604297 453208594 906417188 1133021485 2266042970 4532085940 33764040253 67528080506 104464580917 135056161012 168820201265 208929161834 337640402530 417858323668 522322904585 675280805060 1044645809170 2089291618340 15565222556633 31130445113266 62260890226532 77826112783165 155652225566330 311304451132660