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100010002021212 = 223236315101112577
BaseRepresentation
bin10110101111010101100100…
…101001001111101101011100
3111010002212021222212211222210
4112233111210221033231130
5101102030441004134322
6552411543300440420
730031325040003033
oct2657254451175534
9433085258784883
10100010002021212
1129959004981808
12b2727373a9110
1343a5b973903aa
141a9a71d33d71a
15b8675292b70c
hex5af564a4fb5c

100010002021212 has 96 divisors (see below), whose sum is σ = 243938491905024. Its totient is φ = 31830188544000.

The previous prime is 100010002021201. The next prime is 100010002021219. The reversal of 100010002021212 is 212120200010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010002021219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888313468 + ... + 888426044.

It is an arithmetic number, because the mean of its divisors is an integer number (2541025957344).

Almost surely, 2100010002021212 is an apocalyptic number.

100010002021212 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 100010002021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121969245952512).

100010002021212 is an abundant number, since it is smaller than the sum of its proper divisors (143928489883812).

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

100010002021212 is a wasteful number, since it uses less digits than its factorization.

100010002021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118339 (or 118337 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100010002021212 its reverse (212120200010001), we get a palindrome (312130202031213).

The spelling of 100010002021212 in words is "one hundred trillion, ten billion, two million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 631 1262 1893 2524 3786 5101 7572 10202 14513 15303 20404 29026 30606 43539 58052 61212 87078 112577 117323 174156 225154 234646 337731 351969 450308 469292 675462 703938 1350924 1407876 2589271 3218731 5178542 6437462 7767813 9656193 10357084 12874924 15535626 19312386 31071252 38624772 71036087 74030813 142072174 148061626 213108261 222092439 284144348 296123252 426216522 444184878 574255277 852433044 888369756 1148510554 1633830001 1722765831 2297021108 3267660002 3445531662 4901490003 6535320004 6891063324 9802980006 13207871371 19605960012 26415742742 39623614113 52831485484 79247228226 158494456452 362355079787 724710159574 1087065239361 1449420319148 2174130478722 4348260957444 8334166835101 16668333670202 25002500505303 33336667340404 50005001010606 100010002021212