Search a number
-
+
111002121120012 = 22373178970829933
BaseRepresentation
bin11001001111010010110001…
…111111111010100100001100
3112120000200212200020021020120
4121033102301333322210030
5104022124321001320022
61032025400453144540
732244432016505133
oct3117226177724414
9476020780207216
10111002121120012
113240680a609a31
1210548b5592b150
1349c25bbb40ca5
141d5a761d7091a
15cc76472b3d5c
hex64f4b1ffa90c

111002121120012 has 48 divisors (see below), whose sum is σ = 262699725613920. Its totient is φ = 36473448503808.

The previous prime is 111002121119993. The next prime is 111002121120017. The reversal of 111002121120012 is 210021121200111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111002121119973 and 111002121120000.

It is not an unprimeable number, because it can be changed into a prime (111002121120017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33847803 + ... + 36982130.

It is an arithmetic number, because the mean of its divisors is an integer number (5472910950290).

Almost surely, 2111002121120012 is an apocalyptic number.

111002121120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111002121120012 is an abundant number, since it is smaller than the sum of its proper divisors (151697604493908).

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

111002121120012 is a wasteful number, since it uses less digits than its factorization.

111002121120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70831802 (or 70831800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111002121120012 its reverse (210021121200111), we get a palindrome (321023242320123).

The spelling of 111002121120012 in words is "one hundred eleven trillion, two billion, one hundred twenty-one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 73 146 219 292 438 876 1789 3578 5367 7156 10734 21468 130597 261194 391791 522388 783582 1567164 70829933 141659866 212489799 283319732 424979598 849959196 5170585109 10341170218 15511755327 20682340436 31023510654 62047021308 126714750137 253429500274 380144250411 506859000548 760288500822 1520577001644 9250176760001 18500353520002 27750530280003 37000707040004 55501060560006 111002121120012