Search a number
-
+
120020122210110 = 23517894435968843
BaseRepresentation
bin11011010010100001011100…
…110000000000111100111110
3120201221210220200021012221120
4123102201130300000330332
5111212402202241210420
61103132252153411410
734165111341145563
oct3322413460007476
9521853820235846
10120020122210110
1135273280084521
1211564854109b66
1351c7b06223485
14218d00d68886a
15dd1eeaeb1d40
hex6d285cc00f3e

120020122210110 has 128 divisors (see below), whose sum is σ = 309115448087040. Its totient is φ = 29717002039296.

The previous prime is 120020122210031. The next prime is 120020122210117. The reversal of 120020122210110 is 11012221020021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120020122210110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020122210117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17123349 + ... + 23092191.

It is an arithmetic number, because the mean of its divisors is an integer number (2414964438180).

Almost surely, 2120020122210110 is an apocalyptic number.

120020122210110 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 120020122210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154557724043520).

120020122210110 is an abundant number, since it is smaller than the sum of its proper divisors (189095325876930).

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

120020122210110 is a wasteful number, since it uses less digits than its factorization.

120020122210110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969402.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120020122210110 its reverse (11012221020021), we get a palindrome (131032343230131).

The spelling of 120020122210110 in words is "one hundred twenty trillion, twenty billion, one hundred twenty-two million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 89 102 170 178 255 267 443 445 510 534 886 890 1329 1335 1513 2215 2658 2670 3026 4430 4539 6645 7531 7565 9078 13290 15062 15130 22593 22695 37655 39427 45186 45390 75310 78854 112965 118281 197135 225930 236562 394270 591405 670259 1182810 1340518 2010777 3351295 4021554 5968843 6702590 10053885 11937686 17906529 20107770 29844215 35813058 59688430 89532645 101470331 179065290 202940662 304410993 507351655 531227027 608821986 1014703310 1062454054 1522054965 1593681081 2644197449 2656135135 3044109930 3187362162 5288394898 5312270270 7932592347 7968405405 9030859459 13220987245 15865184694 15936810810 18061718918 26441974490 27092578377 39662961735 44951356633 45154297295 54185156754 79325923470 89902713266 90308594590 134854069899 135462891885 224756783165 235333572961 269708139798 270925783770 449513566330 470667145922 674270349495 706000718883 1176667864805 1348540698990 1412001437766 2353335729610 3530003594415 4000670740337 7060007188830 8001341480674 12002012221011 20003353701685 24004024442022 40006707403370 60010061105055 120020122210110