Search a number
-
+
1222026202221 = 311271467101531
BaseRepresentation
bin10001110010000110011…
…100000000110001101101
311022211021002220010010220
4101302012130000301231
5130010202201432341
62333220250321553
7154200643222026
oct21620634006155
94284232803126
101222026202221
11431292a29900
12178a061292b9
138b30c9b2166
1443209969c4d
1521bc3792a66
hex11c86700c6d

1222026202221 has 48 divisors (see below), whose sum is σ = 1820090248704. Its totient is φ = 728619892000.

The previous prime is 1222026202183. The next prime is 1222026202237.

It is a happy number.

1222026202221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1222026202221 - 221 = 1222024105069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1222026202191 and 1222026202200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222026202261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11985226 + ... + 12086756.

It is an arithmetic number, because the mean of its divisors is an integer number (37918546848).

Almost surely, 21222026202221 is an apocalyptic number.

1222026202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1222026202221 is a deficient number, since it is larger than the sum of its proper divisors (598064046483).

1222026202221 is a wasteful number, since it uses less digits than its factorization.

1222026202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102094 (or 102083 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 1222026202221 in words is "one trillion, two hundred twenty-two billion, twenty-six million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 71 121 213 363 467 781 1401 2343 5137 8591 15411 25773 33157 56507 99471 101531 169521 304593 364727 1094181 1116841 3350523 4011997 7208701 12035991 12285251 21626103 36855753 47414977 79295711 142244931 237887133 521564747 872252821 1564694241 2616758463 3366463367 5737212217 10099390101 17211636651 37031097037 111093291111 407342067407 1222026202221