Search a number
-
+
1213023312030 = 2352916327893067
BaseRepresentation
bin10001101001101101110…
…100101101100010011110
311021222000200100220112110
4101221231310231202132
5124333232431441110
62325131043214450
7153431564012535
oct21515564554236
94258020326473
101213023312030
11428493044192
12177113077426
138a50675c4ba
14429d400131c
15218481e4a20
hex11a6dd2d89e

1213023312030 has 128 divisors (see below), whose sum is σ = 3032195212800. Its totient is φ = 310190114304.

The previous prime is 1213023311959. The next prime is 1213023312077. The reversal of 1213023312030 is 302133203121.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1213023311988 and 1213023312006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395506557 + ... + 395509623.

It is an arithmetic number, because the mean of its divisors is an integer number (23689025100).

Almost surely, 21213023312030 is an apocalyptic number.

1213023312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213023312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516097606400).

1213023312030 is an abundant number, since it is smaller than the sum of its proper divisors (1819171900770).

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

1213023312030 is a wasteful number, since it uses less digits than its factorization.

1213023312030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1213023312030 its reverse (302133203121), we get a palindrome (1515156515151).

The spelling of 1213023312030 in words is "one trillion, two hundred thirteen billion, twenty-three million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 163 174 290 326 435 489 815 870 978 1630 2445 2789 3067 4727 4890 5578 6134 8367 9201 9454 13945 14181 15335 16734 18402 23635 27890 28362 30670 41835 46005 47270 70905 80881 83670 88943 92010 141810 161762 177886 242643 266829 404405 444715 454607 485286 499921 533658 808810 889430 909214 999842 1213215 1334145 1363821 1499763 2273035 2426430 2499605 2668290 2727642 2999526 4546070 4999210 6819105 7498815 8553863 13183603 13638210 14497709 14997630 17107726 25661589 26367206 28995418 39550809 42769315 43493127 51323178 65918015 72488545 79101618 85538630 86986254 128307945 131836030 144977090 197754045 217465635 248062027 256615890 395508090 434931270 496124054 744186081 1240310135 1394279669 1488372162 2480620270 2788559338 3720930405 4182839007 6971398345 7441860810 8365678014 13942796690 20914195035 40434110401 41828390070 80868220802 121302331203 202170552005 242604662406 404341104010 606511656015 1213023312030