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120110100001002 = 23237214990736067
BaseRepresentation
bin11011010011110101001111…
…110110000011000011101010
3120202021102011101100120220100
4123103311033312003003222
5111220340441100013002
61103241452422010230
734204445150562546
oct3323651766030352
9522242141316810
10120110100001002
11352a8453206581
121157a185576976
13520344556a967
142193507644a26
15dd451540311c
hex6d3d4fd830ea

120110100001002 has 144 divisors (see below), whose sum is σ = 269561505376800. Its totient is φ = 38649454321536.

The previous prime is 120110100000997. The next prime is 120110100001201. The reversal of 120110100001002 is 200100001011021.

It is a happy number.

It is a super-2 number, since 2×1201101000010022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3330175773 + ... + 3330211839.

It is an arithmetic number, because the mean of its divisors is an integer number (1871954898450).

Almost surely, 2120110100001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110100001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134780752688400).

120110100001002 is an abundant number, since it is smaller than the sum of its proper divisors (149451405375798).

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

120110100001002 is a wasteful number, since it uses less digits than its factorization.

120110100001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37205 (or 37165 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120110100001002 its reverse (200100001011021), we get a palindrome (320210101012023).

The spelling of 120110100001002 in words is "one hundred twenty trillion, one hundred ten billion, one hundred million, one thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 149 222 298 333 447 666 894 907 1341 1369 1814 2682 2721 2738 4107 5442 5513 8163 8214 11026 12321 16326 16539 24642 33078 33559 36067 49617 67118 72134 99234 100677 108201 135143 201354 203981 216402 270286 302031 324603 405429 407962 604062 611943 649206 810858 1216287 1223886 1241683 1334479 1835829 2432574 2483366 2668958 3671658 3725049 4003437 5000291 5373983 7450098 8006874 10000582 10747966 11175147 12010311 15000873 16121949 22350294 24020622 30001746 32243898 32712769 45002619 48365847 49375723 65425538 90005238 96731694 98138307 98751446 148127169 185010767 196276614 198837371 294414921 296254338 370021534 397674742 444381507 555032301 588829842 596512113 888763014 1110064602 1193024226 1210372453 1665096903 1789536339 2420744906 3330193806 3579072678 3631117359 4874202581 7262234718 7356982727 9748405162 10893352077 14622607743 14713965454 21786704154 22070948181 29245215486 43867823229 44141896362 44783780761 66212844543 87735646458 89567561522 132425689086 134351342283 180345495497 268702684566 360690990994 403054026849 541036486491 806108053698 1082072972982 1623109459473 3246218918946 6672783333389 13345566666778 20018350000167 40036700000334 60055050000501 120110100001002