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331310320020 = 2232519912777243
BaseRepresentation
bin1001101001000111010…
…00100100100110010100
31011200011120211002021100
410310203220210212110
520412010420220040
6412111333550100
732636115153231
oct4644350444624
91150146732240
10331310320020
11118565047139
12542631a5330
132531c8030a4
141206d5d6788
158941365b30
hex4d23a24994

331310320020 has 144 divisors (see below), whose sum is σ = 1010955254400. Its totient is φ = 87824487168.

The previous prime is 331310320013. The next prime is 331310320021. The reversal of 331310320020 is 20023013133.

331310320020 is a `hidden beast` number, since 3 + 31 + 310 + 320 + 0 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 331310319975 and 331310320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331310320021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45738519 + ... + 45745761.

It is an arithmetic number, because the mean of its divisors is an integer number (7020522600).

Almost surely, 2331310320020 is an apocalyptic number.

331310320020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331310320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505477627200).

331310320020 is an abundant number, since it is smaller than the sum of its proper divisors (679644934380).

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

331310320020 is a wasteful number, since it uses less digits than its factorization.

331310320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8734 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331310320020 its reverse (20023013133), we get a palindrome (351333333153).

The spelling of 331310320020 in words is "three hundred thirty-one billion, three hundred ten million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 398 597 796 995 1194 1277 1791 1990 2388 2554 2985 3582 3831 3980 5108 5970 6385 7164 7243 7662 8955 11493 11940 12770 14486 15324 17910 19155 21729 22986 25540 28972 35820 36215 38310 43458 45972 57465 65187 72430 76620 86916 108645 114930 130374 144860 217290 229860 254123 260748 325935 434580 508246 651870 762369 1016492 1270615 1303740 1441357 1524738 2287107 2541230 2882714 3049476 3811845 4324071 4574214 5082460 5765428 7206785 7623690 8648142 9148428 9249311 11435535 12972213 14413570 15247380 17296284 18498622 21620355 22871070 25944426 27747933 28827140 36997244 43240710 45742140 46246555 51888852 55495866 64861065 83243799 86481420 92493110 110991732 129722130 138739665 166487598 184986220 259444260 277479330 332975196 416218995 554958660 832437990 1664875980 1840612889 3681225778 5521838667 7362451556 9203064445 11043677334 16565516001 18406128890 22087354668 27609193335 33131032002 36812257780 55218386670 66262064004 82827580005 110436773340 165655160010 331310320020