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11422023100 = 22522318127437
BaseRepresentation
bin10101010001100111…
…00011110110111100
31002111000112220002121
422220303203312330
5141343014214400
65125221332324
7553022410615
oct125063436674
932430486077
1011422023100
114931486014
1222692670a4
1311004aa167
147a4d68c0c
1546cb5321a
hex2a8ce3dbc

11422023100 has 72 divisors (see below), whose sum is σ = 26007272928. Its totient is φ = 4345862400.

The previous prime is 11422023097. The next prime is 11422023113. The reversal of 11422023100 is 132022411.

It is a super-2 number, since 2×114220231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402582 + ... + 430018.

It is an arithmetic number, because the mean of its divisors is an integer number (361212124).

Almost surely, 211422023100 is an apocalyptic number.

11422023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11422023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13003636464).

11422023100 is an abundant number, since it is smaller than the sum of its proper divisors (14585249828).

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

11422023100 is a wasteful number, since it uses less digits than its factorization.

11422023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27655 (or 27648 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11422023100 its reverse (132022411), we get a palindrome (11554045511).

The spelling of 11422023100 in words is "eleven billion, four hundred twenty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 181 230 362 460 575 724 905 1150 1810 2300 3620 4163 4525 8326 9050 16652 18100 20815 27437 41630 54874 83260 104075 109748 137185 208150 274370 416300 548740 631051 685925 1262102 1371850 2524204 2743700 3155255 4966097 6310510 9932194 12621020 15776275 19864388 24830485 31552550 49660970 63105100 99321940 114220231 124152425 228440462 248304850 456880924 496609700 571101155 1142202310 2284404620 2855505775 5711011550 11422023100