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320302032011312 = 241361193269486247
BaseRepresentation
bin100100011010100000010000…
…0110101101100000000110000
31120000002120112022220222202012
41020311000200311230000300
5313440312030143330222
63053120415552342052
7124316025642322511
oct11065004065540060
91500076468828665
10320302032011312
11930703688a4a4a
122bb1081a544928
13109954764bc0c0
1459149b5a24a08
152706bce48b1e2
hex1235020d6c030

320302032011312 has 160 divisors (see below), whose sum is σ = 685337886817920. Its totient is φ = 144116779253760.

The previous prime is 320302032011293. The next prime is 320302032011321. The reversal of 320302032011312 is 213110230203023.

It is a super-2 number, since 2×3203020320113122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658479773 + ... + 658966019.

It is an arithmetic number, because the mean of its divisors is an integer number (4283361792612).

Almost surely, 2320302032011312 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 320302032011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342668943408960).

320302032011312 is an abundant number, since it is smaller than the sum of its proper divisors (365035854806608).

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

320302032011312 is a wasteful number, since it uses less digits than its factorization.

320302032011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486791 (or 486785 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 320302032011312 its reverse (213110230203023), we get a palindrome (533412262214335).

The spelling of 320302032011312 in words is "three hundred twenty trillion, three hundred two billion, thirty-two million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 193 208 244 269 386 488 538 772 793 976 1076 1544 1586 2152 2509 3088 3172 3497 4304 5018 6344 6994 10036 11773 12688 13988 16409 20072 23546 27976 32818 40144 47092 51917 55952 65636 94184 103834 131272 153049 188368 207668 213317 262544 306098 415336 426634 486247 612196 674921 830672 853268 972494 1224392 1349842 1706536 1944988 2448784 2699684 3166937 3413072 3889976 5399368 6321211 6333874 7779952 10798736 12642422 12667748 25284844 25335496 29661067 41170181 50569688 50670992 59322134 82340362 93845671 101139376 118644268 130800443 164680724 187691342 237288536 261600886 329361448 375382684 385593871 474577072 523201772 658722896 750765368 771187742 1046403544 1219993723 1501530736 1542375484 1700405759 2092807088 2439987446 3084750968 3400811518 4879974892 5724585931 6169501936 6801623036 7978827023 9759949784 11449171862 13603246072 15957654046 19519899568 22898343724 25244485499 27206492144 31915308092 45796687448 50488970998 63830616184 74419617103 91593374896 100977941996 103724751299 127661232368 148839234206 201955883992 207449502598 297678468412 328178311487 403911767984 414899005196 595356936824 656356622974 829798010392 1190713873648 1312713245948 1539913615439 1659596020784 2625426491896 3079827230878 5250852983792 6159654461756 12319308923512 20018877000707 24638617847024 40037754001414 80075508002828 160151016005656 320302032011312