Search a number
-
+
10202121211100 = 225271310111100121
BaseRepresentation
bin1001010001110101110111…
…0011111000110011011100
31100010022110100221121220212
42110131131303320303130
52314122421012223400
633410442332031552
72102036034320240
oct224353563706334
940108410847825
1010202121211100
113283771500545
1211892a59025b8
13590095a80ca0
14273adcc1c420
1512a5a971e335
hex9475dcf8cdc

10202121211100 has 144 divisors (see below), whose sum is σ = 27517291238976. Its totient is φ = 3196834560000.

The previous prime is 10202121211063. The next prime is 10202121211153. The reversal of 10202121211100 is 111212120201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4630961 + ... + 6469160.

Almost surely, 210202121211100 is an apocalyptic number.

10202121211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121211100 is an abundant number, since it is smaller than the sum of its proper divisors (17315170027876).

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

10202121211100 is a wasteful number, since it uses less digits than its factorization.

10202121211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100256 (or 11100249 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10202121211100 its reverse (111212120201), we get a palindrome (10313333331301).

The spelling of 10202121211100 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 101 130 140 175 182 202 260 325 350 364 404 455 505 650 700 707 910 1010 1300 1313 1414 1820 2020 2275 2525 2626 2828 3535 4550 5050 5252 6565 7070 9100 9191 10100 13130 14140 17675 18382 26260 32825 35350 36764 45955 65650 70700 91910 131300 183820 229775 459550 919100 11100121 22200242 44400484 55500605 77700847 111001210 144301573 155401694 222002420 277503025 288603146 310803388 388504235 555006050 577206292 721507865 777008470 1010111011 1110012100 1121112221 1443015730 1554016940 1942521175 2020222022 2242224442 2886031460 3607539325 3885042350 4040444044 4484448884 5050555055 5605561105 7215078650 7770084700 7847785547 10101110110 11211122210 14430157300 14574458873 15695571094 20202220220 22422244420 25252775275 28027805525 29148917746 31391142188 39238927735 50505550550 56055611050 58297835492 72872294365 78477855470 101011101100 102021212111 112111222100 145744588730 156955710940 196194638675 204042424222 291489177460 364361471825 392389277350 408084848444 510106060555 728722943650 784778554700 1020212121110 1457445887300 2040424242220 2550530302775 5101060605550 10202121211100