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11221004394 = 23217294130841
BaseRepresentation
bin10100111001101001…
…01111000001101010
31001222000022002021100
422130310233001222
5140440034120034
65053241022230
7545031651345
oct123464570152
931860262240
1011221004394
114838a67756
122211a84976
13109a957292
1478639d45c
1545a197099
hex29cd2f06a

11221004394 has 96 divisors (see below), whose sum is σ = 27280365840. Its totient is φ = 3315916800.

The previous prime is 11221004371. The next prime is 11221004407. The reversal of 11221004394 is 49340012211.

It is a happy number.

11221004394 is a `hidden beast` number, since 1 + 1 + 221 + 0 + 0 + 439 + 4 = 666.

11221004394 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6067631025 + 5153373369 = 77895^2 + 71787^2 .

It is a super-2 number, since 2×112210043942 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 348414 + ... + 379254.

Almost surely, 211221004394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221004394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640182920).

11221004394 is an abundant number, since it is smaller than the sum of its proper divisors (16059361446).

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

11221004394 is a wasteful number, since it uses less digits than its factorization.

11221004394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30936 (or 30933 counting only the distinct ones).

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

The spelling of 11221004394 in words is "eleven billion, two hundred twenty-one million, four thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 29 34 41 51 58 82 87 102 123 153 174 246 261 306 369 493 522 697 738 986 1189 1394 1479 2091 2378 2958 3567 4182 4437 6273 7134 8874 10701 12546 20213 21402 30841 40426 60639 61682 92523 121278 181917 185046 277569 363834 524297 555138 894389 1048594 1264481 1572891 1788778 2528962 2683167 3145782 3793443 4718673 5366334 7586886 8049501 9437346 11380329 15204613 16099002 21496177 22760658 30409226 36669949 42992354 45613839 64488531 73339898 91227678 110009847 128977062 136841517 193465593 220019694 273683034 330029541 386931186 623389133 660059082 1246778266 1870167399 3740334798 5610502197 11221004394