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311330300130 = 232519199914897
BaseRepresentation
bin1001000011111001011…
…10110110000011100010
31002202121010212220120200
410201330232312003202
520100101024101010
6355005000450030
731331024613333
oct4417456660342
91082533786520
10311330300130
11110041924503
1250407a79916
1323487302805
14110d5c3228a
158172244cc0
hex487cbb60e2

311330300130 has 96 divisors (see below), whose sum is σ = 856344528000. Its totient is φ = 78256544256.

The previous prime is 311330300101. The next prime is 311330300147. The reversal of 311330300130 is 31003033113.

311330300130 is a `hidden beast` number, since 3 + 1 + 1 + 330 + 300 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117159 + ... + 797738.

It is an arithmetic number, because the mean of its divisors is an integer number (8920255500).

Almost surely, 2311330300130 is an apocalyptic number.

311330300130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311330300130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428172264000).

311330300130 is an abundant number, since it is smaller than the sum of its proper divisors (545014227870).

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

311330300130 is a wasteful number, since it uses less digits than its factorization.

311330300130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915128 (or 915125 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 311330300130 its reverse (31003033113), we get a palindrome (342333333243).

The spelling of 311330300130 in words is "three hundred eleven billion, three hundred thirty million, three hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 199 285 342 398 570 597 855 995 1194 1710 1791 1990 2985 3582 3781 5970 7562 8955 11343 17910 18905 22686 34029 37810 56715 68058 113430 170145 340290 914897 1829794 2744691 4574485 5489382 8234073 9148970 13723455 16468146 17383043 27446910 34766086 41170365 52149129 82340730 86915215 104298258 156447387 173830430 182064503 260745645 312894774 364129006 521491290 546193509 782236935 910322515 1092387018 1564473870 1638580527 1820645030 2730967545 3277161054 3459225557 5461935090 6918451114 8192902635 10377676671 16385805270 17296127785 20755353342 31133030013 34592255570 51888383355 62266060026 103776766710 155665150065 311330300130