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10210130103312 = 24322322131393027
BaseRepresentation
bin1001010010010011101100…
…1011011000110000010000
31100011002010112002111122100
42110210323023120300100
52314240321301301222
633414245150240400
72102441353634226
oct224447313306020
940132115074570
1010210130103312
1132871012a1827
12118a95bab6100
13590a710b8669
1427425c75cb16
1512a8c78c44ac
hex9493b2d8c10

10210130103312 has 120 divisors (see below), whose sum is σ = 29830034130624. Its totient is φ = 3253930428672.

The previous prime is 10210130103307. The next prime is 10210130103337. The reversal of 10210130103312 is 21330103101201.

10210130103312 is a `hidden beast` number, since 1 + 0 + 210 + 130 + 10 + 3 + 312 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6632943 + ... + 8025969.

Almost surely, 210210130103312 is an apocalyptic number.

10210130103312 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 10210130103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14915017065312).

10210130103312 is an abundant number, since it is smaller than the sum of its proper divisors (19619904027312).

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

10210130103312 is a wasteful number, since it uses less digits than its factorization.

10210130103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395277 (or 1395268 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10210130103312 its reverse (21330103101201), we get a palindrome (31540233204513).

The spelling of 10210130103312 in words is "ten trillion, two hundred ten billion, one hundred thirty million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2213 3312 4426 6639 8852 13278 17704 19917 26556 35408 39834 50899 53112 79668 101798 106224 152697 159336 203596 305394 318672 407192 458091 610788 814384 916182 1221576 1393027 1832364 2443152 2786054 3664728 4179081 5572108 7329456 8358162 11144216 12537243 16716324 22288432 25074486 32039621 33432648 50148972 64079242 66865296 96118863 100297944 128158484 192237726 200595888 256316968 288356589 384475452 512633936 576713178 768950904 1153426356 1537901808 2306852712 3082768751 4613705424 6165537502 9248306253 12331075004 18496612506 24662150008 27744918759 36993225012 49324300016 55489837518 70903681273 73986450024 110979675036 141807362546 147972900048 212711043819 221959350072 283614725092 425422087638 443918700144 567229450184 638133131457 850844175276 1134458900368 1276266262914 1701688350552 2552532525828 3403376701104 5105065051656 10210130103312