Search a number
-
+
2202221121093 = 327316419111931
BaseRepresentation
bin100000000010111110100…
…110111000111001000101
321210112022120120011210200
4200002332212320321011
5242040122101333333
64403404133241113
7315051043446540
oct40027646707105
97715276504720
102202221121093
11779a58458154
122b697b493199
1312c88ca9b686
1478833949857
153c441441c13
hex200be9b8e45

2202221121093 has 96 divisors (see below), whose sum is σ = 3764612726784. Its totient is φ = 1213954560000.

The previous prime is 2202221121091. The next prime is 2202221121103. The reversal of 2202221121093 is 3901211222022.

2202221121093 is a `hidden beast` number, since 220 + 2 + 221 + 1 + 210 + 9 + 3 = 666.

It is not a de Polignac number, because 2202221121093 - 21 = 2202221121091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202221121091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1140455338 + ... + 1140457268.

It is an arithmetic number, because the mean of its divisors is an integer number (39214715904).

Almost surely, 22202221121093 is an apocalyptic number.

It is an amenable number.

2202221121093 is a deficient number, since it is larger than the sum of its proper divisors (1562391605691).

2202221121093 is a wasteful number, since it uses less digits than its factorization.

2202221121093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2202221121093 in words is "two trillion, two hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, ninety-three".

Divisors: 1 3 7 9 21 31 63 93 217 279 641 651 911 1923 1931 1953 2733 4487 5769 5793 6377 8199 13461 13517 17379 19131 19871 28241 40383 40551 57393 59613 59861 84723 121653 139097 178839 179583 197687 254169 417291 419027 538749 583951 593061 1237771 1251873 1257081 1751853 1759141 1779183 3713313 3771243 4087657 5255559 5277423 8664397 11139939 12262971 12313987 15832269 18102481 25993191 36788913 36941961 38370901 54307443 54533371 77979573 110825883 115112703 126717367 162922329 163600113 268596307 345338109 380152101 381733597 490800339 805788921 1127609381 1140456303 1145200791 2417366763 3382828143 3435602373 7893265667 10148484429 23679797001 34955890811 71039391003 104867672433 244691235677 314603017299 734073707031 2202221121093