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12031320314310 = 235111012931231999
BaseRepresentation
bin1010111100010100001010…
…0100101101000111000110
31120121011221101202220220120
42233011002210231013012
53034110121000024220
641331040125042410
72351143222210143
oct257050244550706
946534841686816
1012031320314310
1139194aa730590
1214239009b6406
1369371948314b
142d84675153ca
1515ce678eda40
hexaf14292d1c6

12031320314310 has 128 divisors (see below), whose sum is σ = 31920666624000. Its totient is φ = 2877947328000.

The previous prime is 12031320314291. The next prime is 12031320314329. The reversal of 12031320314310 is 1341302313021.

It is an interprime number because it is at equal distance from previous prime (12031320314291) and next prime (12031320314329).

It is a super-2 number, since 2×120313203143102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9149691 + ... + 10381689.

It is an arithmetic number, because the mean of its divisors is an integer number (249380208000).

Almost surely, 212031320314310 is an apocalyptic number.

12031320314310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031320314310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960333312000).

12031320314310 is an abundant number, since it is smaller than the sum of its proper divisors (19889346309690).

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

12031320314310 is a wasteful number, since it uses less digits than its factorization.

12031320314310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232414.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12031320314310 its reverse (1341302313021), we get a palindrome (13372622627331).

The spelling of 12031320314310 in words is "twelve trillion, thirty-one billion, three hundred twenty million, three hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 293 303 330 505 586 606 879 1010 1111 1465 1515 1758 2222 2930 3030 3223 3333 4395 5555 6446 6666 8790 9669 11110 16115 16665 19338 29593 32230 33330 48345 59186 88779 96690 147965 177558 295930 325523 443895 651046 887790 976569 1231999 1627615 1953138 2463998 3255230 3695997 4882845 6159995 7391994 9765690 12319990 13551989 18479985 27103978 36959970 40655967 67759945 81311934 124431899 135519890 203279835 248863798 360975707 373295697 406559670 622159495 721951414 746591394 1082927121 1244318990 1368750889 1804878535 1866478485 2165854242 2737501778 3609757070 3732956970 3970732777 4106252667 5414635605 6843754445 7941465554 8212505334 10829271210 11912198331 13687508890 19853663885 20531263335 23824396662 36458546407 39707327770 41062526670 59560991655 72917092814 109375639221 119121983310 182292732035 218751278442 364585464070 401044010477 546878196105 802088020954 1093756392210 1203132031431 2005220052385 2406264062862 4010440104770 6015660157155 12031320314310