Search a number
-
+
120130103310 = 23572349949843
BaseRepresentation
bin110111111100001001…
…1111110100000001110
3102111002001222112200120
41233320103332200032
53432011301301220
6131104221005410
711451636013230
oct1577023764016
9374061875616
10120130103310
1146a46347718
121b3473b3866
13b43613ab89
145b58732250
1531d1604a40
hex1bf84fe80e

120130103310 has 128 divisors (see below), whose sum is σ = 344521728000. Its totient is φ = 26211309696.

The previous prime is 120130103297. The next prime is 120130103371. The reversal of 120130103310 is 13301031021.

120130103310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1201301033102 (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120130103310.

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, 2385249 + ... + 2435091.

It is an arithmetic number, because the mean of its divisors is an integer number (2691576000).

Almost surely, 2120130103310 is an apocalyptic number.

120130103310 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 120130103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172260864000).

120130103310 is an abundant number, since it is smaller than the sum of its proper divisors (224391624690).

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

120130103310 is a wasteful number, since it uses less digits than its factorization.

120130103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50382.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 120130103310 its reverse (13301031021), we get a palindrome (133431134331).

The spelling of 120130103310 in words is "one hundred twenty billion, one hundred thirty million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 499 690 805 966 998 1497 1610 2415 2495 2994 3493 4830 4990 6986 7485 10479 11477 14970 17465 20958 22954 34431 34930 49843 52395 57385 68862 80339 99686 104790 114770 149529 160678 172155 241017 249215 299058 344310 348901 401695 482034 498430 697802 747645 803390 1046703 1146389 1205085 1495290 1744505 2093406 2292778 2410170 3439167 3489010 5233515 5731945 6878334 8024723 10467030 11463890 16049446 17195835 24074169 24871657 34391670 40123615 48148338 49743314 74614971 80247230 120370845 124358285 149229942 174101599 240741690 248716570 348203198 373074855 522304797 572048111 746149710 870507995 1044609594 1144096222 1716144333 1741015990 2611523985 2860240555 3432288666 4004336777 5223047970 5720481110 8008673554 8580721665 12013010331 17161443330 20021683885 24026020662 40043367770 60065051655 120130103310