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100222002022221 = 349780915767317
BaseRepresentation
bin10110110010011011000000…
…110101000100011101001101
3111010212010111122021202020000
4112302123000311010131031
5101114014130004202341
6553053204020314513
730052541432166522
oct2662330065043515
9433763448252200
10100222002022221
1129a2aa043a5312
12b2a7841842a39
1343bcb81844681
141aa6ab103d149
15b8c00e6218b6
hex5b26c0d4474d

100222002022221 has 40 divisors (see below), whose sum is σ = 151444774043640. Its totient is φ = 66044115044352.

The previous prime is 100222002022213. The next prime is 100222002022267. The reversal of 100222002022221 is 122220200222001.

It can be written as a sum of positive squares in 4 ways, for example, as 61371775352196 + 38850226670025 = 7834014^2 + 6232995^2 .

It is not a de Polignac number, because 100222002022221 - 23 = 100222002022213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222002022194 and 100222002022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222002022421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1527346 + ... + 14239971.

It is an arithmetic number, because the mean of its divisors is an integer number (3786119351091).

Almost surely, 2100222002022221 is an apocalyptic number.

It is an amenable number.

100222002022221 is a deficient number, since it is larger than the sum of its proper divisors (51222772021419).

100222002022221 is an equidigital number, since it uses as much as digits as its factorization.

100222002022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15768235 (or 15768226 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100222002022221 its reverse (122220200222001), we get a palindrome (222442202244222).

The spelling of 100222002022221 in words is "one hundred trillion, two hundred twenty-two billion, two million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 97 291 809 873 2427 2619 7281 7857 21843 65529 78473 235419 706257 2118771 6356313 15767317 47301951 141905853 425717559 1277152677 1529429749 4588289247 12755759453 13764867741 38267278359 41294603223 114801835077 123883809669 344405505231 1033216515693 1237308666941 3711926000823 11135778002469 33407334007407 100222002022221