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910010100012 = 2231323116072377
BaseRepresentation
bin11010011111000001101…
…01000010100100101100
310012222220011112211222020
431033200311002210230
5104402200041200022
61534015230350140
7122513620136406
oct15174065024454
93188804484866
10910010100012
11320a29a83122
1212844865b350
1367a765a1800
143208aa17b76
1518a1123235c
hexd3e0d4292c

910010100012 has 144 divisors (see below), whose sum is σ = 2311421478912. Its totient is φ = 278525744640.

The previous prime is 910010100001. The next prime is 910010100017. The reversal of 910010100012 is 210001010019.

It is a junction number, because it is equal to n+sod(n) for n = 910010099964 and 910010100000.

It is not an unprimeable number, because it can be changed into a prime (910010100017) 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, 382838568 + ... + 382840944.

It is an arithmetic number, because the mean of its divisors is an integer number (16051538048).

Almost surely, 2910010100012 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 910010100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155710739456).

910010100012 is an abundant number, since it is smaller than the sum of its proper divisors (1401411378900).

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

910010100012 is a wasteful number, since it uses less digits than its factorization.

910010100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 910010100012 in words is "nine hundred ten billion, ten million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 311 338 507 607 622 676 933 1014 1214 1244 1821 1866 2028 2377 2428 3642 3732 4043 4754 7131 7284 7891 8086 9508 12129 14262 15782 16172 23673 24258 28524 30901 31564 47346 48516 52559 61802 92703 94692 102583 105118 123604 157677 185406 188777 205166 210236 307749 315354 370812 377554 401713 410332 566331 615498 630708 739247 755108 803426 1132662 1205139 1230996 1442839 1478494 1606852 2217741 2265324 2410278 2454101 2885678 2956988 4328517 4435482 4820556 4908202 5771356 7362303 8657034 8870964 9610211 9816404 14724606 17314068 18756907 19220422 28830633 29449212 31903313 37513814 38440844 56270721 57661266 63806626 75027628 95709939 112541442 115322532 124932743 127613252 191419878 225082884 243839791 249865486 374798229 382839756 448722929 487679582 499730972 731519373 749596458 897445858 975359164 1346168787 1463038746 1499192916 1794891716 2692337574 2926077492 5384675148 5833398077 11666796154 17500194231 23333592308 35000388462 70000776924 75834175001 151668350002 227502525003 303336700004 455005050006 910010100012