Search a number
-
+
101220211201110 = 235281911677102499
BaseRepresentation
bin10111000000111100101010…
…101110111001010001010110
3111021101120001112222000222020
4113000330222232321101112
5101231342443031413420
6555135531215314010
730214630123211001
oct2700745256712126
9437346045860866
10101220211201110
112a285283465861
12b4291a3b1b906
134463042ab5041
141add1276bc538
15ba7e83a44340
hex5c0f2abb9456

101220211201110 has 64 divisors (see below), whose sum is σ = 243037864800000. Its totient is φ = 26979907312512.

The previous prime is 101220211201103. The next prime is 101220211201141. The reversal of 101220211201110 is 11102112022101.

It is a happy number.

101220211201110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 101220211201110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987472641 + ... + 987575139.

It is an arithmetic number, because the mean of its divisors is an integer number (3797466637500).

Almost surely, 2101220211201110 is an apocalyptic number.

101220211201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101220211201110 is an abundant number, since it is smaller than the sum of its proper divisors (141817653598890).

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

101220211201110 is a wasteful number, since it uses less digits than its factorization.

101220211201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117005.

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

Adding to 101220211201110 its reverse (11102112022101), we get a palindrome (112322323223211).

The spelling of 101220211201110 in words is "one hundred one trillion, two hundred twenty billion, two hundred eleven million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 2819 5638 8457 11677 14095 16914 23354 28190 35031 42285 58385 70062 84570 102499 116770 175155 204998 307497 350310 512495 614994 1024990 1537485 3074970 32917463 65834926 98752389 164587315 197504778 288944681 329174630 493761945 577889362 866834043 987523890 1196880823 1444723405 1733668086 2393761646 2889446810 3590642469 4334170215 5984404115 7181284938 8668340430 11968808230 17953212345 35906424690 3374007040037 6748014080074 10122021120111 16870035200185 20244042240222 33740070400370 50610105600555 101220211201110