Search a number
-
+
11023332100220 = 2251150106055001
BaseRepresentation
bin1010000001101001000111…
…0010110100100001111100
31110000211010222010011202102
42200122101302310201330
52421101241004201340
635240014315244232
72215260305566166
oct240322162644174
943024128104672
1011023332100220
11356aa72658170
1212a048b749678
1361c65a23cc0b
142a17641d1936
15141b1ec19215
hexa0691cb487c

11023332100220 has 24 divisors (see below), whose sum is σ = 25253451721008. Its totient is φ = 4008484400000.

The previous prime is 11023332100213. The next prime is 11023332100229. The reversal of 11023332100220 is 2200123332011.

It is a super-2 number, since 2×110233321002202 (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 junction number, because it is equal to n+sod(n) for n = 11023332100192 and 11023332100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023332100229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25053027281 + ... + 25053027720.

It is an arithmetic number, because the mean of its divisors is an integer number (1052227155042).

Almost surely, 211023332100220 is an apocalyptic number.

11023332100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11023332100220 is an abundant number, since it is smaller than the sum of its proper divisors (14230119620788).

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

11023332100220 is a wasteful number, since it uses less digits than its factorization.

11023332100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50106055021 (or 50106055019 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11023332100220 its reverse (2200123332011), we get a palindrome (13223455432231).

The spelling of 11023332100220 in words is "eleven trillion, twenty-three billion, three hundred thirty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 50106055001 100212110002 200424220004 250530275005 501060550010 551166605011 1002121100020 1102333210022 2204666420044 2755833025055 5511666050110 11023332100220