Search a number
-
+
11023222302200 = 23523115111774431
BaseRepresentation
bin1010000001101000101100…
…1111111110010111111000
31110000210212022111212012002
42200122023033332113320
52421101024402132300
635235555354040132
72215254503405303
oct240321317762770
943023768455162
1011023222302200
11356aa166842a9
1212a045aa19048
1361c640578784
142a17537adb3a
15141b1527b5d5
hexa068b3fe5f8

11023222302200 has 96 divisors (see below), whose sum is σ = 26630939320320. Its totient is φ = 4238794800000.

The previous prime is 11023222302187. The next prime is 11023222302223. The reversal of 11023222302200 is 220322232011.

It is a happy number.

It is a super-2 number, since 2×110232223022002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4951016 + ... + 6823415.

It is an arithmetic number, because the mean of its divisors is an integer number (277405617920).

Almost surely, 211023222302200 is an apocalyptic number.

11023222302200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11023222302200 is an abundant number, since it is smaller than the sum of its proper divisors (15607717018120).

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

11023222302200 is a wasteful number, since it uses less digits than its factorization.

11023222302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774629 (or 11774620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11023222302200 its reverse (220322232011), we get a palindrome (11243544534211).

The spelling of 11023222302200 in words is "eleven trillion, twenty-three billion, two hundred twenty-two million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 151 155 200 248 302 310 604 620 755 775 1208 1240 1510 1550 3020 3100 3775 4681 6040 6200 7550 9362 15100 18724 23405 30200 37448 46810 93620 117025 187240 234050 468100 936200 11774431 23548862 47097724 58872155 94195448 117744310 235488620 294360775 365007361 470977240 588721550 730014722 1177443100 1460029444 1777939081 1825036805 2354886200 2920058888 3555878162 3650073610 7111756324 7300147220 8889695405 9125184025 14223512648 14600294440 17779390810 18250368050 35558781620 36500736100 44448477025 55116111511 71117563240 73001472200 88896954050 110232223022 177793908100 220464446044 275580557555 355587816200 440928892088 551161115110 1102322230220 1377902787775 2204644460440 2755805575550 5511611151100 11023222302200