Search a number
-
+
210144140120020 = 225175914277341121
BaseRepresentation
bin101111110001111111111110…
…110100101100111111010100
31000120001120202102221002010111
4233301333332310230333110
5210021000144332320040
62022534515113332404
762156261456535151
oct5761777664547724
91016046672832114
10210144140120020
1160a5a6a17189a7
121b69b413407104
13903467994a942
1439c706016b228
1519464e8405dea
hexbf1ffed2cfd4

210144140120020 has 96 divisors (see below), whose sum is σ = 475514423717760. Its totient is φ = 77717677178880.

The previous prime is 210144140119999. The next prime is 210144140120029. The reversal of 210144140120020 is 20021041441012.

It is a junction number, because it is equal to n+sod(n) for n = 210144140119973 and 210144140120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210144140120029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24955060 + ... + 32296180.

It is an arithmetic number, because the mean of its divisors is an integer number (4953275247060).

Almost surely, 2210144140120020 is an apocalyptic number.

210144140120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210144140120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237757211858880).

210144140120020 is an abundant number, since it is smaller than the sum of its proper divisors (265370283597740).

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

210144140120020 is a wasteful number, since it uses less digits than its factorization.

210144140120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342633 (or 7342631 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 210144140120020 its reverse (20021041441012), we get a palindrome (230165181561032).

The spelling of 210144140120020 in words is "two hundred ten trillion, one hundred forty-four billion, one hundred forty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 1003 1180 1427 2006 2854 4012 5015 5708 7135 10030 14270 20060 24259 28540 48518 84193 97036 121295 168386 242590 336772 420965 485180 841930 1431281 1683860 2862562 5725124 7156405 7341121 14312810 14682242 28625620 29364484 36705605 73411210 124799057 146822420 249598114 433126139 499196228 623995285 866252278 1247990570 1732504556 2165630695 2495981140 4331261390 7363144363 8662522780 10475779667 14726288726 20951559334 29452577452 36815721815 41903118668 52378898335 73631443630 104757796670 147262887260 178088254339 209515593340 356176508678 618071000353 712353017356 890441271695 1236142000706 1780882543390 2472284001412 3090355001765 3561765086780 6180710003530 10507207006001 12361420007060 21014414012002 42028828024004 52536035030005 105072070060010 210144140120020