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331312103004 = 2232943157141023
BaseRepresentation
bin1001101001000111011…
…11010111111001011100
31011200011201011200001210
410310203233113321130
520412011344244004
6412111440104420
732636136260361
oct4644357277134
91150151150053
10331312103004
11118566054783
1254263905110
132531cca87cc
141206d93c468
1589415b9089
hex4d23bd7e5c

331312103004 has 96 divisors (see below), whose sum is σ = 823535032320. Its totient is φ = 103485328128.

The previous prime is 331312102991. The next prime is 331312103009. The reversal of 331312103004 is 400301213133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331312103009) 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 31 ways as a sum of consecutive naturals, for example, 2278837 + ... + 2419859.

It is an arithmetic number, because the mean of its divisors is an integer number (8578489920).

Almost surely, 2331312103004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331312103004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411767516160).

331312103004 is an abundant number, since it is smaller than the sum of its proper divisors (492222929316).

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

331312103004 is a wasteful number, since it uses less digits than its factorization.

331312103004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141259 (or 141257 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 331312103004 its reverse (400301213133), we get a palindrome (731613316137).

The spelling of 331312103004 in words is "three hundred thirty-one billion, three hundred twelve million, one hundred three thousand, four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 157 172 174 258 314 348 471 516 628 942 1247 1884 2494 3741 4553 4988 6751 7482 9106 13502 13659 14964 18212 20253 27004 27318 40506 54636 81012 141023 195779 282046 391558 423069 564092 587337 783116 846138 1174674 1692276 2349348 4089667 6063989 8179334 12127978 12269001 16358668 18191967 22140611 24255956 24538002 36383934 44281222 49076004 66421833 72767868 88562444 132843666 175855681 265687332 351711362 527567043 642077719 703422724 952046273 1055134086 1284155438 1904092546 1926233157 2110268172 2568310876 2856138819 3808185092 3852466314 5712277638 7704932628 11424555276 27609341917 55218683834 82828025751 110437367668 165656051502 331312103004