Search a number
-
+
20221120101 = 37131719435333
BaseRepresentation
bin10010110101010001…
…011100111001100101
31221012020121100000010
4102311101130321211
5312403101320401
613142304440433
71314045453630
oct226521347145
957166540003
1020221120101
118637327906
123b04019119
131ba3448130
14d9b804c17
157d5397ed6
hex4b545ce65

20221120101 has 128 divisors (see below), whose sum is σ = 37851770880. Its totient is φ = 9287405568.

The previous prime is 20221120093. The next prime is 20221120123. The reversal of 20221120101 is 10102112202.

It is not a de Polignac number, because 20221120101 - 23 = 20221120093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221120181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3789031 + ... + 3794363.

It is an arithmetic number, because the mean of its divisors is an integer number (295716960).

Almost surely, 220221120101 is an apocalyptic number.

20221120101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20221120101 is a deficient number, since it is larger than the sum of its proper divisors (17630650779).

20221120101 is a wasteful number, since it uses less digits than its factorization.

20221120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20221120101 its reverse (10102112202), we get a palindrome (30323232303).

The spelling of 20221120101 in words is "twenty billion, two hundred twenty-one million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 7 13 17 19 21 39 43 51 57 91 119 129 133 221 247 273 301 323 357 399 559 663 731 741 817 903 969 1547 1677 1729 2193 2261 2451 3913 4199 4641 5117 5187 5333 5719 6783 9503 10621 11739 12597 13889 15351 15999 17157 28509 29393 31863 37331 41667 66521 69329 74347 88179 90661 97223 101327 111993 180557 199563 207987 223041 229319 271983 291669 303981 485303 541671 634627 687957 709289 1178593 1263899 1317251 1455909 1605233 1722559 1903881 2127867 2981147 3535779 3791697 3898423 3951753 4357061 4815699 5167677 8250151 8943441 9220757 11695269 12057913 13071183 20868029 22393267 24750453 27288961 27662271 30499427 36173739 50679499 56641793 62604087 67179801 74070037 81866883 91498281 152038497 156752869 169925379 222210111 354756493 396492551 470258607 518490259 962910481 1064269479 1189477653 1555470777 2888731443 6740373367 20221120101