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310040041124 = 22112315718110781
BaseRepresentation
bin1001000001011111101…
…00111001011010100100
31002122021020000221222002
410200233310321122210
520034430222303444
6354232550024432
731254036603302
oct4405764713244
91078236027862
10310040041124
1110a53a57a850
1250107948118
132330cbc8548
1411012729272
1580e8d2ad4e
hex482fd396a4

310040041124 has 96 divisors (see below), whose sum is σ = 625055139072. Its totient is φ = 133189056000.

The previous prime is 310040041121. The next prime is 310040041139. The reversal of 310040041124 is 421140040013.

It is a super-2 number, since 2×3100400411242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310040041096 and 310040041105.

It is not an unprimeable number, because it can be changed into a prime (310040041121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28752614 + ... + 28763394.

It is an arithmetic number, because the mean of its divisors is an integer number (6510991032).

Almost surely, 2310040041124 is an apocalyptic number.

It is an amenable number.

310040041124 is an abundant number, since it is smaller than the sum of its proper divisors (315015097948).

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

310040041124 is a wasteful number, since it uses less digits than its factorization.

310040041124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 310040041124 its reverse (421140040013), we get a palindrome (731180081137).

The spelling of 310040041124 in words is "three hundred ten billion, forty million, forty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 23 44 46 92 157 181 253 314 362 506 628 724 1012 1727 1991 3454 3611 3982 4163 6908 7222 7964 8326 10781 14444 16652 21562 28417 39721 43124 45793 56834 79442 91586 113668 118591 158884 183172 237182 247963 312587 474364 495926 625174 653591 991852 1250348 1307182 1692617 1951361 2614364 2727593 3385234 3902722 5455186 6770468 7189501 7805444 10910372 14379002 18618787 21464971 28758004 37237574 38930191 42929942 44881303 74475148 77860382 85859884 89762606 155720764 179525212 306363677 428232101 493694333 612727354 856464202 987388666 1225454708 1712928404 1974777332 3370000447 6740000894 7046364571 13480001788 14092729142 28185458284 77510010281 155020020562 310040041124