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11122323132 = 22319439111121
BaseRepresentation
bin10100101101111000…
…10010111010111100
31001201010121120000210
422112330102322330
5140234303320012
65035353552420
7542423121024
oct122674227274
931633546023
1011122323132
114798296a98
1221a4a15710
131083385abb
14777232a84
154516a323c
hex296f12ebc

11122323132 has 48 divisors (see below), whose sum is σ = 27380460800. Its totient is φ = 3504280320.

The previous prime is 11122323103. The next prime is 11122323137. The reversal of 11122323132 is 23132322111.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11122323099 and 11122323108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122323137) 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 15 ways as a sum of consecutive naturals, for example, 44532 + ... + 155652.

Almost surely, 211122323132 is an apocalyptic number.

11122323132 is a gapful number since it is divisible by the number (12) 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 11122323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690230400).

11122323132 is an abundant number, since it is smaller than the sum of its proper divisors (16258137668).

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

11122323132 is a wasteful number, since it uses less digits than its factorization.

11122323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111586 (or 111584 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 11122323132 its reverse (23132322111), we get a palindrome (34254645243).

The spelling of 11122323132 in words is "eleven billion, one hundred twenty-two million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 439 878 1317 1756 2634 5268 8341 16682 25023 33364 50046 100092 111121 222242 333363 444484 666726 1333452 2111299 4222598 6333897 8445196 12667794 25335588 48782119 97564238 146346357 195128476 292692714 585385428 926860261 1853720522 2780580783 3707441044 5561161566 11122323132