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10313013120312 = 2337433421733619
BaseRepresentation
bin1001011000010010111101…
…1110111100110100111000
31100111220200121122021201110
42112010233132330310320
52322432022324322222
633533422142320320
72113043036101140
oct226045736746470
940456617567643
1010313013120312
1133167a7057201
1211a68932890a0
1359a688ca0a06
1427921c653920
1512d3e9c9630c
hex9612f7bcd38

10313013120312 has 128 divisors (see below), whose sum is σ = 29541684211200. Its totient is φ = 2938985607168.

The previous prime is 10313013120271. The next prime is 10313013120323. The reversal of 10313013120312 is 21302131031301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 306744639 + ... + 306778257.

It is an arithmetic number, because the mean of its divisors is an integer number (230794407900).

Almost surely, 210313013120312 is an apocalyptic number.

10313013120312 is a gapful number since it is divisible by the number (12) 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 10313013120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14770842105600).

10313013120312 is an abundant number, since it is smaller than the sum of its proper divisors (19228671090888).

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

10313013120312 is a wasteful number, since it uses less digits than its factorization.

10313013120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38285 (or 38281 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10313013120312 its reverse (21302131031301), we get a palindrome (31615144151613).

The spelling of 10313013120312 in words is "ten trillion, three hundred thirteen billion, thirteen million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 433 866 1299 1732 2598 3031 3464 4217 5196 6062 8434 9093 10392 12124 12651 16868 18186 24248 25302 29519 33619 33736 36372 50604 59038 67238 72744 88557 100857 101208 118076 134476 177114 201714 235333 236152 268952 354228 403428 470666 705999 708456 806856 941332 1411998 1825961 1882664 2823996 3651922 5477883 5647992 7303844 10955766 12781727 14557027 14607688 21911532 25563454 29114054 38345181 43671081 43823064 51126908 58228108 76690362 87342162 101899189 102253816 116456216 141771323 153380724 174684324 203798378 283542646 305697567 306761448 349368648 407596756 425313969 567085292 611395134 815193512 850627938 992399261 1134170584 1222790268 1701255876 1984798522 2445580536 2977197783 3402511752 3969597044 5954395566 7939194088 11908791132 23817582264 61386982859 122773965718 184160948577 245547931436 368321897154 429708880013 491095862872 736643794308 859417760026 1289126640039 1473287588616 1718835520052 2578253280078 3437671040104 5156506560156 10313013120312